Cremona's table of elliptic curves

2730 = 2 · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+ 13-	Signs for the Atkin-Lehner involutions
Class	2730c	Isogeny class
Conductor	2730	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-7.5227254486084E+22	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  4 13- -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-8216883,16006788837]	[a1,a2,a3,a4,a6]
j	-61354313914516350666047929/75227254486083984375000	j-invariant
L	0.78834433145345	L(r)(E,1)/r!
Ω	0.098543041431681	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	21840cb3 87360cx3 8190bp4 13650cs4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2730c4

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
+	+	+	+	4	-	-6	-8	8	2	8	2	-2	-8	-12	10	4	2	-8	4	-6	-8	4	14	-14

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Quadratic twists for elliptic curve 2730c4

-4	8	-3	5	-7	13
21840cb3	87360cx3	8190bp4	13650cs4	19110be4	35490cv3

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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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