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	2310a	Isogeny class
Conductor	2310	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	333053952000 = 220 · 3 · 53 · 7 · 112	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ 11+ -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-6958,-224588]	[a1,a2,a3,a4,a6]
Generators	[-51:55:1]	Generators of the group modulo torsion
j	37262716093162729/333053952000	j-invariant
L	1.8108076601395	L(r)(E,1)/r!
Ω	0.52300345041809	Real period
R	3.4623245003296	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	18480cu1 73920dg1 6930bg1 11550cj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310a1

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	2	0	8	2	0	-6	6	-8	-4	-6	4	-6	8	12	-6	0	-4	-2	-14

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Quadratic twists for elliptic curve 2310a1

-4	8	-3	5	-7	-11
18480cu1	73920dg1	6930bg1	11550cj1	16170z1	25410bs1

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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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