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	2310c	Isogeny class
Conductor	2310	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	104587560000 = 26 · 32 · 54 · 74 · 112	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11- -6  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1183,-2363]	[a1,a2,a3,a4,a6]
Generators	[-23:127:1]	Generators of the group modulo torsion
j	183337554283129/104587560000	j-invariant
L	1.9319730518721	L(r)(E,1)/r!
Ω	0.8808298614299	Real period
R	0.54833888372489	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18480cn2 73920do2 6930bi2 11550ci2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310c2

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

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Quadratic twists for elliptic curve 2310c2

-4	8	-3	5	-7	-11
18480cn2	73920do2	6930bi2	11550ci2	16170bf2	25410bm2

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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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