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	3150k	Isogeny class
Conductor	3150	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	468838125000000 = 26 · 37 · 510 · 73	Discriminant
Eigenvalues	2+ 3- 5+ 7+  0 -2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-79027317,270424292341]	[a1,a2,a3,a4,a6]
j	4791901410190533590281/41160000	j-invariant
L	1.0440533072434	L(r)(E,1)/r!
Ω	0.26101332681086	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	25200eg8 100800cy8 1050k7 630i7	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150k7

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

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Quadratic twists for elliptic curve 3150k7

-4	8	-3	5	-7
25200eg8	100800cy8	1050k7	630i7	22050bd8

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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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