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	2310o	Isogeny class
Conductor	2310	Conductor
∏ cp	160	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	-880065599546327040 = -1 · 240 · 33 · 5 · 72 · 112	Discriminant
Eigenvalues	2- 3+ 5- 7- 11+ -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-332850,86465727]	[a1,a2,a3,a4,a6]
j	-4078208988807294650401/880065599546327040	j-invariant
L	2.6843000563939	L(r)(E,1)/r!
Ω	0.26843000563939	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18480da1 73920cv1 6930i1 11550s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310o1

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

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Quadratic twists for elliptic curve 2310o1

-4	8	-3	5	-7	-11
18480da1	73920cv1	6930i1	11550s1	16170bw1	25410m1

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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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