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	2070d	Isogeny class
Conductor	2070	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	714150 = 2 · 33 · 52 · 232	Discriminant
Eigenvalues	2+ 3+ 5- -4  0  0 -4  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-39,95]	[a1,a2,a3,a4,a6]
Generators	[-1:12:1]	Generators of the group modulo torsion
j	246491883/26450	j-invariant
L	2.212833092719	L(r)(E,1)/r!
Ω	2.7687055970106	Real period
R	0.39961509362141	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	16560bd2 66240m2 2070k2 10350bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070d2

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
+	+	-	-4	0	0	-4	8	-	2	4	-2	-8	-4	-8	-6	-10	-8	12	-16	-2	-6	2	-6	-10

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Quadratic twists for elliptic curve 2070d2

-4	8	-3	5	-7	-23
16560bd2	66240m2	2070k2	10350bb2	101430e2	47610g2

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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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