Cremona's table of elliptic curves

710 = 2 · 5 · 71

Field	Data	Notes
Atkin-Lehner	2- 5- 71-	Signs for the Atkin-Lehner involutions
Class	710d	Isogeny class
Conductor	710	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	90211467550 = 2 · 52 · 715	Discriminant
Eigenvalues	2- -1 5-  3  2 -1  8 -5	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-181355,-29801973]	[a1,a2,a3,a4,a6]
j	659648323242974383921/90211467550	j-invariant
L	2.3134875268592	L(r)(E,1)/r!
Ω	0.23134875268592	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5680h2 22720g2 6390d2 3550d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 710d2

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
-	-1	-	3	2	-1	8	-5	-1	0	7	-12	12	9	-7	-6	0	2	8	-	-11	10	-16	-15	-2

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Quadratic twists for elliptic curve 710d2

-4	8	-3	5	-7	-11	13	-71
5680h2	22720g2	6390d2	3550d2	34790q2	85910j2	119990a2	50410p2

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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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