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	2310f	Isogeny class
Conductor	2310	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	140040608400 = 24 · 310 · 52 · 72 · 112	Discriminant
Eigenvalues	2+ 3- 5+ 7+ 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1744,21326]	[a1,a2,a3,a4,a6]
Generators	[-11:203:1]	Generators of the group modulo torsion
j	586145095611769/140040608400	j-invariant
L	2.5794478980453	L(r)(E,1)/r!
Ω	0.97208984313206	Real period
R	0.26535077146103	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	18480bu2 73920y2 6930bd2 11550bu2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310f2

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

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Quadratic twists for elliptic curve 2310f2

-4	8	-3	5	-7	-11
18480bu2	73920y2	6930bd2	11550bu2	16170p2	25410cr2

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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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