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	2730bb	Isogeny class
Conductor	2730	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-136840035150 = -1 · 2 · 34 · 52 · 7 · 136	Discriminant
Eigenvalues	2- 3- 5- 7+  2 13+ -4  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1985,38247]	[a1,a2,a3,a4,a6]
j	-865005601073041/136840035150	j-invariant
L	3.9991065048223	L(r)(E,1)/r!
Ω	0.99977662620558	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	21840bm2 87360i2 8190h2 13650i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2730bb2

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

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Quadratic twists for elliptic curve 2730bb2

-4	8	-3	5	-7	13
21840bm2	87360i2	8190h2	13650i2	19110bt2	35490bd2

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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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