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	2310t	Isogeny class
Conductor	2310	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	444872222400201750 = 2 · 34 · 53 · 7 · 1112	Discriminant
Eigenvalues	2- 3- 5+ 7- 11+  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-341501,-69817269]	[a1,a2,a3,a4,a6]
j	4404531606962679693649/444872222400201750	j-invariant
L	3.5780180154621	L(r)(E,1)/r!
Ω	0.19877877863678	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480bm7 73920bs8 6930o7 11550c8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310t8

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

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Quadratic twists for elliptic curve 2310t8

-4	8	-3	5	-7	-11
18480bm7	73920bs8	6930o7	11550c8	16170bn7	25410w8

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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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