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	108	Product of Tamagawa factors cp
Δ	164434491947880 = 23 · 33 · 5 · 712 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7- 11+  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-65811,-6474375]	[a1,a2,a3,a4,a6]
j	31522423139920199089/164434491947880	j-invariant
L	3.5780180154621	L(r)(E,1)/r!
Ω	0.29816816795517	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	18480bm5 73920bs4 6930o5 11550c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2310t4

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 2310t4

-4	8	-3	5	-7	-11
18480bm5	73920bs4	6930o5	11550c4	16170bn5	25410w4

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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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