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	2730v	Isogeny class
Conductor	2730	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	5.669072694146E+19	Discriminant
Eigenvalues	2- 3+ 5- 7+  4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-9218020,-10769952415]	[a1,a2,a3,a4,a6]
j	86623684689189325642735681/56690726941459561860	j-invariant
L	2.7727274484007	L(r)(E,1)/r!
Ω	0.086647732762523	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	21840cl8 87360bx8 8190l7 13650bd7	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2730v7

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

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Quadratic twists for elliptic curve 2730v7

-4	8	-3	5	-7	13
21840cl8	87360bx8	8190l7	13650bd7	19110cm7	35490k8

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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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