Cremona's table of elliptic curves

2310 = 2 · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7+ 11+	Signs for the Atkin-Lehner involutions
Class	2310n	Isogeny class
Conductor	2310	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-91531319653620 = -1 · 22 · 38 · 5 · 78 · 112	Discriminant
Eigenvalues	2- 3+ 5- 7+ 11+ -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,8855,-326485]	[a1,a2,a3,a4,a6]
Generators	[215:3294:1]	Generators of the group modulo torsion
j	76786760064334319/91531319653620	j-invariant
L	3.9614829321028	L(r)(E,1)/r!
Ω	0.3236571269781	Real period
R	3.0599379728558	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	18480dg6 73920cg5 6930g6 11550y6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310n6

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	-6	-4	0	-2	-8	6	-6	-4	8	-2	-4	-2	-4	0	10	-16	4	-6	10

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Quadratic twists for elliptic curve 2310n6

-4	8	-3	5	-7	-11
18480dg6	73920cg5	6930g6	11550y6	16170bx6	25410t5

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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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