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	15792z	Isogeny class
Conductor	15792	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	134400	Modular degree for the optimal curve
Δ	-15631206658486272 = -1 · 212 · 37 · 75 · 473	Discriminant
Eigenvalues	2- 3+  4 7- -1 -2 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-33061,-6433907]	[a1,a2,a3,a4,a6]
j	-975719213461504/3816212563107	j-invariant
L	2.4256247641014	L(r)(E,1)/r!
Ω	0.16170831760676	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	987d1 63168ds1 47376bn1 110544dw1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 15792z1

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	-	-1	-2	-3	-1	-3	-2	3	3	-10	10	-	-6	-3	10	-10	-6	15	13	-3	1	6

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Quadratic twists for elliptic curve 15792z1

-4	8	-3	-7
987d1	63168ds1	47376bn1	110544dw1

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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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