Cremona's table of elliptic curves

15792 = 2⁴ · 3 · 7 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 47-	Signs for the Atkin-Lehner involutions
Class	15792x	Isogeny class
Conductor	15792	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	1.659197909738E+19	Discriminant
Eigenvalues	2- 3+ -2 7-  4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1780224,-892394496]	[a1,a2,a3,a4,a6]
j	152330884252627401217/4050776146821264	j-invariant
L	2.0946224143055	L(r)(E,1)/r!
Ω	0.13091390089409	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	1974i3 63168dp3 47376bl3 110544dq3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 15792x4

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	-	4	-2	2	4	8	6	8	6	2	12	-	6	4	-2	4	-8	-6	0	-4	-6	2

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Quadratic twists for elliptic curve 15792x4

-4	8	-3	-7
1974i3	63168dp3	47376bl3	110544dq3

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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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