Cremona's table of elliptic curves

3150 = 2 · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	3150bk	Isogeny class
Conductor	3150	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	585913702500000000 = 28 · 314 · 510 · 72	Discriminant
Eigenvalues	2- 3- 5+ 7-  4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-240755,-26606253]	[a1,a2,a3,a4,a6]
j	135487869158881/51438240000	j-invariant
L	3.5602765999432	L(r)(E,1)/r!
Ω	0.22251728749645	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	25200dz2 100800fr2 1050c2 630c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150bk2

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	2	4	-8	2	0	-6	6	4	0	-10	-12	14	12	8	-10	16	-12	-10	-2

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Quadratic twists for elliptic curve 3150bk2

-4	8	-3	5	-7
25200dz2	100800fr2	1050c2	630c2	22050eo2

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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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