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	2730d	Isogeny class
Conductor	2730	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	479824800 = 25 · 3 · 52 · 7 · 134	Discriminant
Eigenvalues	2+ 3+ 5+ 7-  4 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-89603,-10361043]	[a1,a2,a3,a4,a6]
j	79560762543506753209/479824800	j-invariant
L	1.1037692158881	L(r)(E,1)/r!
Ω	0.27594230397202	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	21840bq4 87360dr4 8190bs3 13650cp3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2730d3

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	+	2	4	4	2	-8	-6	10	-4	0	-6	8	10	-8	-16	14	-16	16	18	-10

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Quadratic twists for elliptic curve 2730d3

-4	8	-3	5	-7	13
21840bq4	87360dr4	8190bs3	13650cp3	19110bj3	35490co4

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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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