Cremona's table of elliptic curves

18480 = 2⁴ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	18480bm	Isogeny class
Conductor	18480	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	200002150656000000 = 214 · 32 · 56 · 72 · 116	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11-  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5324016,4730049216]	[a1,a2,a3,a4,a6]
Generators	[1208:7744:1]	Generators of the group modulo torsion
j	4074571110566294433649/48828650062500	j-invariant
L	4.0790564768487	L(r)(E,1)/r!
Ω	0.28852135830376	Real period
R	1.1781497739687	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2310t6 73920hf6 55440dz6 92400hj6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480bm6

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

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Quadratic twists for elliptic curve 18480bm6

-4	8	-3	5	-7
2310t6	73920hf6	55440dz6	92400hj6	129360ia6

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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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