Cremona's table of elliptic curves

18240 = 2⁶ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 19-	Signs for the Atkin-Lehner involutions
Class	18240cw	Isogeny class
Conductor	18240	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	142228224000000 = 214 · 34 · 56 · 193	Discriminant
Eigenvalues	2- 3- 5- -2  0  4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-147825,21819375]	[a1,a2,a3,a4,a6]
Generators	[-75:5700:1]	Generators of the group modulo torsion
j	21804712949838544/8680921875	j-invariant
L	6.5193285118977	L(r)(E,1)/r!
Ω	0.57105603735667	Real period
R	0.31711854322051	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	18240n4 4560l4 54720eb4 91200fw4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240cw4

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	0	4	6	-	-6	-6	-8	4	-6	-10	-6	-12	12	10	-4	0	14	-8	-18	-6	8

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Quadratic twists for elliptic curve 18240cw4

-4	8	-3	5
18240n4	4560l4	54720eb4	91200fw4

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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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