Cremona's table of elliptic curves

9610 = 2 · 5 · 31²

Field	Data	Notes
Atkin-Lehner	2- 5+ 31-	Signs for the Atkin-Lehner involutions
Class	9610a	Isogeny class
Conductor	9610	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	3.9383139189427E+20	Discriminant
Eigenvalues	2-  2 5+ -4  0  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1966226,-463965077]	[a1,a2,a3,a4,a6]
Generators	[236370370606047237:-15596970295373799343:50035370468049]	Generators of the group modulo torsion
j	947226559343329/443751840500	j-invariant
L	7.8140676094723	L(r)(E,1)/r!
Ω	0.13342052332184	Real period
R	29.283604257132	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	76880t4 86490bl4 48050e4 310b4	Quadratic twists by: -4 -3 5 -31

Hecke Eigenvalues for elliptic curve 9610a4

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	+	-4	0	4	0	-4	6	-6	-	-8	-6	10	0	0	-12	-14	8	0	4	-8	-6	18	-10

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Quadratic twists for elliptic curve 9610a4

-4	-3	5	-31
76880t4	86490bl4	48050e4	310b4

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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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