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	15792s	Isogeny class
Conductor	15792	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	2.1708059143391E+23	Discriminant
Eigenvalues	2- 3+  2 7-  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-91848272,-338035736640]	[a1,a2,a3,a4,a6]
Generators	[240754294:28771303050:12167]	Generators of the group modulo torsion
j	20920725399680491448386513/52998191268045520896	j-invariant
L	4.8522955286943	L(r)(E,1)/r!
Ω	0.048775072591108	Real period
R	9.9483102144658	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1974j2 63168dj2 47376bw2 110544ec2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 15792s2

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	2	-6	-4	-4	6	-8	6	6	8	+	-10	12	-2	8	-8	-2	0	4	10	-14

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Quadratic twists for elliptic curve 15792s2

-4	8	-3	-7
1974j2	63168dj2	47376bw2	110544ec2

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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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