Cremona's table of elliptic curves

4290 = 2 · 3 · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11- 13-	Signs for the Atkin-Lehner involutions
Class	4290ba	Isogeny class
Conductor	4290	Conductor
∏ cp	224	Product of Tamagawa factors cp
deg	3584	Modular degree for the optimal curve
Δ	-22016966400 = -1 · 28 · 37 · 52 · 112 · 13	Discriminant
Eigenvalues	2- 3- 5+ -2 11- 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,299,6881]	[a1,a2,a3,a4,a6]
Generators	[26:-193:1]	Generators of the group modulo torsion
j	2955605685551/22016966400	j-invariant
L	5.7076311731049	L(r)(E,1)/r!
Ω	0.87936313299424	Real period
R	0.11590431917127	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	34320bc1 12870u1 21450g1 47190x1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4290ba1

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	-	-	-6	-4	-4	-4	2	-8	2	-8	0	-4	0	14	4	0	10	0	-8	-14	-8

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Quadratic twists for elliptic curve 4290ba1

-4	-3	5	-11	13
34320bc1	12870u1	21450g1	47190x1	55770be1

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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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