Cremona's table of elliptic curves

3090 = 2 · 3 · 5 · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 103-	Signs for the Atkin-Lehner involutions
Class	3090k	Isogeny class
Conductor	3090	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	30388737870 = 2 · 33 · 5 · 1034	Discriminant
Eigenvalues	2- 3- 5+  0 -4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1661,24531]	[a1,a2,a3,a4,a6]
j	506814405937489/30388737870	j-invariant
L	3.4677031769511	L(r)(E,1)/r!
Ω	1.1559010589837	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	24720f4 98880k4 9270k3 15450a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3090k3

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
-	-	+	0	-4	2	2	4	8	2	-4	-6	10	12	-12	-6	8	14	12	0	6	8	-12	6	10

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Quadratic twists for elliptic curve 3090k3

-4	8	-3	5
24720f4	98880k4	9270k3	15450a3

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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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