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	2	Product of Tamagawa factors cp
Δ	1847042 = 2 · 314	Discriminant
Eigenvalues	2-  0 -2  0  0  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-31,5]	[a1,a2,a3,a4,a6]
j	3196010817/1847042	j-invariant
L	1.1087406603618	L(r)(E,1)/r!
Ω	2.2174813207235	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	496f4 1984b3 558c4 1550a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 62a3

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 62a3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
496f4	1984b3	558c4	1550a3	3038i4	7502a4	10478e3	17918e3	22382c3	32798e3	52142b3	1922d4	84878c3	104222a3	114638b3

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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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