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	15792g	Isogeny class
Conductor	15792	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	142507008 = 210 · 32 · 7 · 472	Discriminant
Eigenvalues	2+ 3-  0 7+  2 -4  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1328,-19068]	[a1,a2,a3,a4,a6]
Generators	[43:72:1]	Generators of the group modulo torsion
j	253130786500/139167	j-invariant
L	5.7183772649763	L(r)(E,1)/r!
Ω	0.79083725131688	Real period
R	3.6153944793662	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	7896f2 63168cb2 47376f2 110544g2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 15792g2

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	-4	2	-4	2	6	0	-2	0	-2	-	10	-12	-6	2	12	-4	0	12	-10	2

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Quadratic twists for elliptic curve 15792g2

-4	8	-3	-7
7896f2	63168cb2	47376f2	110544g2

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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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