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	15792d	Isogeny class
Conductor	15792	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	95004672 = 211 · 3 · 7 · 472	Discriminant
Eigenvalues	2+ 3+ -4 7+  0  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-880,10336]	[a1,a2,a3,a4,a6]
Generators	[-30:94:1] [21:26:1]	Generators of the group modulo torsion
j	36841321442/46389	j-invariant
L	4.8796213246647	L(r)(E,1)/r!
Ω	1.8950583575971	Real period
R	2.5749187644293	Regulator
r	2	Rank of the group of rational points
S	0.99999999999987	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7896m2 63168de2 47376k2 110544bj2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 15792d2

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

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Quadratic twists for elliptic curve 15792d2

-4	8	-3	-7
7896m2	63168de2	47376k2	110544bj2

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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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