Cremona's table of elliptic curves

62 = 2 · 31

Field	Data	Notes
Atkin-Lehner	2- 31+	Signs for the Atkin-Lehner involutions
Class	62a	Isogeny class
Conductor	62	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	62 = 2 · 31	Discriminant
Eigenvalues	2-  0 -2  0  0  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-331,2397]	[a1,a2,a3,a4,a6]
j	3999236143617/62	j-invariant
L	1.1087406603618	L(r)(E,1)/r!
Ω	4.434962641447	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	496f3 1984b4 558c3 1550a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 62a4

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

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Quadratic twists for elliptic curve 62a4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
496f3	1984b4	558c3	1550a4	3038i3	7502a3	10478e4	17918e4	22382c4	32798e4	52142b4	1922d3	84878c4	104222a4	114638b4

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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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