Cremona's table of elliptic curves

2940 = 2² · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	2940j	Isogeny class
Conductor	2940	Conductor
∏ cp	840	Product of Tamagawa factors cp
deg	40320	Modular degree for the optimal curve
Δ	281420084531250000 = 24 · 37 · 510 · 77	Discriminant
Eigenvalues	2- 3- 5- 7-  2 -4 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-199005,-22785372]	[a1,a2,a3,a4,a6]
Generators	[-159:2205:1]	Generators of the group modulo torsion
j	463030539649024/149501953125	j-invariant
L	4.0716016927172	L(r)(E,1)/r!
Ω	0.23183250338722	Real period
R	0.083631842842785	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11760bw1 47040i1 8820n1 14700e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2940j1

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

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Quadratic twists for elliptic curve 2940j1

-4	8	-3	5	-7
11760bw1	47040i1	8820n1	14700e1	420a1

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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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