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	4290t	Isogeny class
Conductor	4290	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	294465600 = 26 · 32 · 52 · 112 · 132	Discriminant
Eigenvalues	2- 3+ 5+ -4 11- 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-386,2639]	[a1,a2,a3,a4,a6]
Generators	[-1:55:1]	Generators of the group modulo torsion
j	6361447449889/294465600	j-invariant
L	3.9834315099842	L(r)(E,1)/r!
Ω	1.7096982182416	Real period
R	0.3883172156235	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	34320bt2 12870t2 21450bf2 47190h2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4290t2

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	-2	-12	2	-12	0	-14	0	4	-10	-2

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Quadratic twists for elliptic curve 4290t2

-4	-3	5	-11	13
34320bt2	12870t2	21450bf2	47190h2	55770l2

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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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