Cremona's table of elliptic curves

15840 = 2⁵ · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	15840d	Isogeny class
Conductor	15840	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	803396394155520000 = 212 · 311 · 54 · 116	Discriminant
Eigenvalues	2+ 3- 5+ -2 11+ -2  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-7274028,-7550982848]	[a1,a2,a3,a4,a6]
j	14254800421166387776/269055826875	j-invariant
L	1.4708767631636	L(r)(E,1)/r!
Ω	0.091929797697727	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15840l2 31680ea1 5280r2 79200di2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15840d2

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	6	8	8	-4	-6	12	-6	0	-2	-4	2	12	-16	-2	-10	0	-18	-18

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Quadratic twists for elliptic curve 15840d2

-4	8	-3	5
15840l2	31680ea1	5280r2	79200di2

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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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