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	12	Product of Tamagawa factors cp
Δ	5.0977256832416E+21	Discriminant
Eigenvalues	2+ 3- 5- -4  6 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4780228,2092941506]	[a1,a2,a3,a4,a6]
Generators	[3510:69851:8]	Generators of the group modulo torsion
j	12080069023705694973579961/5097725683241582592000	j-invariant
L	2.9343919587323	L(r)(E,1)/r!
Ω	0.12321491415985	Real period
R	7.938411186505	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	24240bb3 96960k3 9090w3 15150w3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3030m3

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 3030m3

-4	8	-3	5
24240bb3	96960k3	9090w3	15150w3

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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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