Cremona's table of elliptic curves

92736 = 2⁶ · 3² · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 23-	Signs for the Atkin-Lehner involutions
Class	92736df	Isogeny class
Conductor	92736	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1013760	Modular degree for the optimal curve
Δ	-1786798669824 = -1 · 223 · 33 · 73 · 23	Discriminant
Eigenvalues	2- 3+  3 7+  6 -5 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-714636,-232528112]	[a1,a2,a3,a4,a6]
Generators	[590166830:34042264704:166375]	Generators of the group modulo torsion
j	-5702623460245179/252448	j-invariant
L	8.4217970833157	L(r)(E,1)/r!
Ω	0.082100978905969	Real period
R	12.822315250073	Regulator
r	1	Rank of the group of rational points
S	1.0000000014653	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	92736p1 23184bb1 92736cy2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 92736df1

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
-	+	3	+	6	-5	-6	2	-	-9	4	1	-9	11	3	-6	-12	-2	-4	-6	2	16	12	-12	5

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Quadratic twists for elliptic curve 92736df1

-4	8	-3
92736p1	23184bb1	92736cy2

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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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