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	18480ct	Isogeny class
Conductor	18480	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	472300686950400 = 214 · 34 · 52 · 76 · 112	Discriminant
Eigenvalues	2- 3- 5+ 7- 11-  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-33936,-2178540]	[a1,a2,a3,a4,a6]
Generators	[-126:336:1]	Generators of the group modulo torsion
j	1055257664218129/115307784900	j-invariant
L	6.2369791619851	L(r)(E,1)/r!
Ω	0.35424276324297	Real period
R	0.7336046313842	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	2310m2 73920ft2 55440en2 92400dw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480ct2

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

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Quadratic twists for elliptic curve 18480ct2

-4	8	-3	5	-7
2310m2	73920ft2	55440en2	92400dw2	129360fo2

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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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