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	18480cu	Isogeny class
Conductor	18480	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	423145046016000000 = 222 · 32 · 56 · 72 · 114	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-193256,-9540300]	[a1,a2,a3,a4,a6]
Generators	[-116:3366:1]	Generators of the group modulo torsion
j	194878967635813609/103306896000000	j-invariant
L	5.9631545679428	L(r)(E,1)/r!
Ω	0.24177710808879	Real period
R	3.0829813743951	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	2310a2 73920fq2 55440eo2 92400dr2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480cu2

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

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Quadratic twists for elliptic curve 18480cu2

-4	8	-3	5	-7
2310a2	73920fq2	55440eo2	92400dr2	129360fi2

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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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