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	630b	Isogeny class
Conductor	630	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-24405861513600 = -1 · 27 · 33 · 52 · 710	Discriminant
Eigenvalues	2+ 3+ 5- 7+ -4  6  4  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3204,248528]	[a1,a2,a3,a4,a6]
j	-134745327251163/903920796800	j-invariant
L	1.1585165872402	L(r)(E,1)/r!
Ω	0.57925829362012	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	5040bb2 20160e2 630g2 3150y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 630b2

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

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Quadratic twists for elliptic curve 630b2

-4	8	-3	5	-7	-11	13
5040bb2	20160e2	630g2	3150y2	4410b2	76230de2	106470dk2

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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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