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	18480f	Isogeny class
Conductor	18480	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	25724862740290560 = 210 · 3 · 5 · 712 · 112	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11-  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-77936,-3227280]	[a1,a2,a3,a4,a6]
Generators	[-59:1078:1]	Generators of the group modulo torsion
j	51126217658776516/25121936269815	j-invariant
L	4.2380924363151	L(r)(E,1)/r!
Ω	0.30039571756597	Real period
R	1.1756970856795	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9240z3 73920hz4 55440bj4 92400bz4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480f3

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

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Quadratic twists for elliptic curve 18480f3

-4	8	-3	5	-7
9240z3	73920hz4	55440bj4	92400bz4	129360db4

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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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