Cremona's table of elliptic curves

630 = 2 · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	630c	Isogeny class
Conductor	630	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	94557148402500 = 22 · 38 · 54 · 78	Discriminant
Eigenvalues	2+ 3- 5+ 7+  4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1080450,432540000]	[a1,a2,a3,a4,a6]
j	191342053882402567201/129708022500	j-invariant
L	0.99512756202184	L(r)(E,1)/r!
Ω	0.49756378101092	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	5040bi5 20160ce5 210e5 3150bk5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 630c5

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 630c5

-4	8	-3	5	-7	-11	13
5040bi5	20160ce5	210e5	3150bk5	4410r5	76230du6	106470gc6

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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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