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	18240cr	Isogeny class
Conductor	18240	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	-1170652066099200 = -1 · 212 · 35 · 52 · 196	Discriminant
Eigenvalues	2- 3- 5-  0 -2 -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,23255,-912457]	[a1,a2,a3,a4,a6]
Generators	[341:6840:1]	Generators of the group modulo torsion
j	339542483015744/285803727075	j-invariant
L	6.3936867974356	L(r)(E,1)/r!
Ω	0.26922239088624	Real period
R	0.79162395277111	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	18240ca2 9120a1 54720ds2 91200fp2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240cr2

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

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Quadratic twists for elliptic curve 18240cr2

-4	8	-3	5
18240ca2	9120a1	54720ds2	91200fp2

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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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