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	-109183593750000 = -1 · 24 · 3 · 512 · 7 · 113	Discriminant
Eigenvalues	2- 3- 5+ 7- 11+  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-20251,-1219519]	[a1,a2,a3,a4,a6]
j	-918468938249433649/109183593750000	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	18480bm3 73920bs3 6930o3 11550c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310t3

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 2310t3

-4	8	-3	5	-7	-11
18480bm3	73920bs3	6930o3	11550c3	16170bn3	25410w3

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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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