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	18480bq	Isogeny class
Conductor	18480	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-14310912000 = -1 · 212 · 3 · 53 · 7 · 113	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11- -4  3  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-13461,605661]	[a1,a2,a3,a4,a6]
Generators	[68:11:1]	Generators of the group modulo torsion
j	-65860951343104/3493875	j-invariant
L	3.6017345073407	L(r)(E,1)/r!
Ω	1.1817214930212	Real period
R	1.0159569544971	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1155j2 73920hj2 55440ee2 92400hl2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480bq2

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
-	+	+	+	-	-4	3	1	3	-9	10	-4	6	1	6	-9	-15	-13	-2	6	-16	-8	3	-9	17

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Quadratic twists for elliptic curve 18480bq2

-4	8	-3	5	-7
1155j2	73920hj2	55440ee2	92400hl2	129360id2

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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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