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	2070b	Isogeny class
Conductor	2070	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2688	Modular degree for the optimal curve
Δ	-852976189440 = -1 · 214 · 39 · 5 · 232	Discriminant
Eigenvalues	2+ 3+ 5- -2  2  4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,336,44288]	[a1,a2,a3,a4,a6]
j	212776173/43335680	j-invariant
L	1.37486678794	L(r)(E,1)/r!
Ω	0.68743339396999	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16560be1 66240e1 2070l1 10350be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070b1

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	2	4	6	-4	+	2	-4	-4	0	0	8	10	-2	6	-4	4	14	-8	8	0	10

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Quadratic twists for elliptic curve 2070b1

-4	8	-3	5	-7	-23
16560be1	66240e1	2070l1	10350be1	101430c1	47610d1

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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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