Cremona's table of elliptic curves

2070 = 2 · 3² · 5 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 23-	Signs for the Atkin-Lehner involutions
Class	2070c	Isogeny class
Conductor	2070	Conductor
∏ cp	112	Product of Tamagawa factors cp
deg	18816	Modular degree for the optimal curve
Δ	-9671304960000000 = -1 · 214 · 33 · 57 · 234	Discriminant
Eigenvalues	2+ 3+ 5-  2 -6  0  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-62829,-7673947]	[a1,a2,a3,a4,a6]
Generators	[367:4129:1]	Generators of the group modulo torsion
j	-1015884369980369163/358196480000000	j-invariant
L	2.4589289864792	L(r)(E,1)/r!
Ω	0.14814796433223	Real period
R	0.59277825902029	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16560bc1 66240k1 2070j1 10350ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	-	2	-6	0	2	-4	-	-10	4	-8	-8	-4	-8	-6	14	10	0	8	-2	12	-4	0	-10

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Quadratic twists for elliptic curve 2070c1

-4	8	-3	5	-7	-23
16560bc1	66240k1	2070j1	10350ba1	101430h1	47610e1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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