Cremona's table of elliptic curves

1530 = 2 · 3² · 5 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 17+	Signs for the Atkin-Lehner involutions
Class	1530c	Isogeny class
Conductor	1530	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	49318315290000 = 24 · 310 · 54 · 174	Discriminant
Eigenvalues	2+ 3- 5+  0 -4 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-12960,-453200]	[a1,a2,a3,a4,a6]
j	330240275458561/67652010000	j-invariant
L	0.90778727762822	L(r)(E,1)/r!
Ω	0.45389363881411	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	12240bm3 48960cl3 510e3 7650ca4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1530c4

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

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Quadratic twists for elliptic curve 1530c4

-4	8	-3	5	-7	17
12240bm3	48960cl3	510e3	7650ca4	74970bx3	26010r3

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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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