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	64	Product of Tamagawa factors cp
Δ	450477192904704 = 220 · 34 · 74 · 472	Discriminant
Eigenvalues	2- 3+ -2 7-  4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1768704,-904790016]	[a1,a2,a3,a4,a6]
j	149392736901862384897/109979783424	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	4	Number of elements in the torsion subgroup
Twists	1974i2 63168dp2 47376bl2 110544dq2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 15792x2

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 15792x2

-4	8	-3	-7
1974i2	63168dp2	47376bl2	110544dq2

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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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