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	40	Product of Tamagawa factors cp
Δ	5369647977540 = 22 · 320 · 5 · 7 · 11	Discriminant
Eigenvalues	2+ 3- 5+ 7+ 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-9444,-335954]	[a1,a2,a3,a4,a6]
Generators	[-46:63:1]	Generators of the group modulo torsion
j	93137706732176569/5369647977540	j-invariant
L	2.5794478980453	L(r)(E,1)/r!
Ω	0.48604492156603	Real period
R	0.53070154292206	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	18480bu4 73920y3 6930bd4 11550bu3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310f3

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 2310f3

-4	8	-3	5	-7	-11
18480bu4	73920y3	6930bd4	11550bu3	16170p4	25410cr3

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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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