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	18480dc	Isogeny class
Conductor	18480	Conductor
∏ cp	768	Product of Tamagawa factors cp
Δ	-2258805399105024000 = -1 · 212 · 316 · 53 · 7 · 114	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-189960,78957108]	[a1,a2,a3,a4,a6]
Generators	[-474:7920:1]	Generators of the group modulo torsion
j	-185077034913624841/551466161890875	j-invariant
L	6.210741384787	L(r)(E,1)/r!
Ω	0.228279718525	Real period
R	0.56680657551375	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	1155f4 73920ec3 55440cv3 92400em3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480dc4

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	4	-2	4	-2	-2	12	0	-2	0	-14	8	16	10	-16	4	-6	2

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Quadratic twists for elliptic curve 18480dc4

-4	8	-3	5	-7
1155f4	73920ec3	55440cv3	92400em3	129360eh3

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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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