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	2310m	Isogeny class
Conductor	2310	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-13702874328990 = -1 · 2 · 32 · 5 · 712 · 11	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11+  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,2829,169599]	[a1,a2,a3,a4,a6]
j	2503876820718671/13702874328990	j-invariant
L	2.0373437521996	L(r)(E,1)/r!
Ω	0.50933593804991	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480ct4 73920dj3 6930m4 11550z4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310m4

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	4	-4	-6	0	2	6	12	8	-6	8	-14	12	8	10	4	16	10	6

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Quadratic twists for elliptic curve 2310m4

-4	8	-3	5	-7	-11
18480ct4	73920dj3	6930m4	11550z4	16170cf4	25410h3

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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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