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	3030m	Isogeny class
Conductor	3030	Conductor
∏ cp	108	Product of Tamagawa factors cp
deg	90720	Modular degree for the optimal curve
Δ	2356128000000000 = 214 · 36 · 59 · 101	Discriminant
Eigenvalues	2+ 3- 5- -4  6 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4110853,3207742256]	[a1,a2,a3,a4,a6]
Generators	[-2285:27062:1]	Generators of the group modulo torsion
j	7682797769579096723589961/2356128000000000	j-invariant
L	2.9343919587323	L(r)(E,1)/r!
Ω	0.36964474247954	Real period
R	2.6461370621683	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	24240bb1 96960k1 9090w1 15150w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3030m1

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

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Quadratic twists for elliptic curve 3030m1

-4	8	-3	5
24240bb1	96960k1	9090w1	15150w1

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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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