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	16	Product of Tamagawa factors cp
deg	115200	Modular degree for the optimal curve
Δ	1.7760741842189E+19	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  4 13- -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-720043,118835197]	[a1,a2,a3,a4,a6]
j	41285728533151645510969/17760741842188800000	j-invariant
L	0.78834433145345	L(r)(E,1)/r!
Ω	0.19708608286336	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	21840cb1 87360cx1 8190bp1 13650cs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2730c1

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 2730c1

-4	8	-3	5	-7	13
21840cb1	87360cx1	8190bp1	13650cs1	19110be1	35490cv1

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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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