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	4290u	Isogeny class
Conductor	4290	Conductor
∏ cp	672	Product of Tamagawa factors cp
deg	1161216	Modular degree for the optimal curve
Δ	-2.029083623424E+24	Discriminant
Eigenvalues	2- 3+ 5-  4 11+ 13- -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-84688305,307667837775]	[a1,a2,a3,a4,a6]
j	-67172890180943415009710808721/2029083623424000000000000	j-invariant
L	3.4634098536117	L(r)(E,1)/r!
Ω	0.082462139371708	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	34320cm1 12870o1 21450x1 47190s1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4290u1

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

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Quadratic twists for elliptic curve 4290u1

-4	-3	5	-11	13
34320cm1	12870o1	21450x1	47190s1	55770g1

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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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