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	15792y	Isogeny class
Conductor	15792	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	10560	Modular degree for the optimal curve
Δ	8954064 = 24 · 35 · 72 · 47	Discriminant
Eigenvalues	2- 3+ -2 7-  4  4 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3809,91764]	[a1,a2,a3,a4,a6]
j	382076793536512/559629	j-invariant
L	0.98370042098476	L(r)(E,1)/r!
Ω	1.9674008419695	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	3948b1 63168dq1 47376bm1 110544dr1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 15792y1

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

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Quadratic twists for elliptic curve 15792y1

-4	8	-3	-7
3948b1	63168dq1	47376bm1	110544dr1

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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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