Cremona's table of elliptic curves

3030 = 2 · 3 · 5 · 101

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 101-	Signs for the Atkin-Lehner involutions
Class	3030n	Isogeny class
Conductor	3030	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	1906311168000 = 224 · 32 · 53 · 101	Discriminant
Eigenvalues	2+ 3- 5-  0  4  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3733,57056]	[a1,a2,a3,a4,a6]
j	5750828726750281/1906311168000	j-invariant
L	2.3011130396521	L(r)(E,1)/r!
Ω	0.76703767988403	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	24240bc1 96960b1 9090q1 15150z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3030n1

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

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Quadratic twists for elliptic curve 3030n1

-4	8	-3	5
24240bc1	96960b1	9090q1	15150z1

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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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