Cremona's table of elliptic curves

9310 = 2 · 5 · 7² · 19

Field	Data	Notes
Atkin-Lehner	2+ 5- 7- 19+	Signs for the Atkin-Lehner involutions
Class	9310h	Isogeny class
Conductor	9310	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-61337482640 = -1 · 24 · 5 · 79 · 19	Discriminant
Eigenvalues	2+ -1 5- 7-  0  4 -3 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-16832,-847664]	[a1,a2,a3,a4,a6]
Generators	[300:4456:1]	Generators of the group modulo torsion
j	-4483146738169/521360	j-invariant
L	2.7568786881715	L(r)(E,1)/r!
Ω	0.20957006048639	Real period
R	3.2887315604304	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	74480cr1 83790dp1 46550by1 1330d1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9310h1

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	-	-	0	4	-3	+	-3	-6	4	-1	9	5	0	-9	-6	4	2	-9	7	-4	0	-6	-2

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Quadratic twists for elliptic curve 9310h1

-4	-3	5	-7
74480cr1	83790dp1	46550by1	1330d1

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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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