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	92736er	Isogeny class
Conductor	92736	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	507819374383104 = 212 · 314 · 72 · 232	Discriminant
Eigenvalues	2- 3- -2 7+ -4 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-312996,-67390720]	[a1,a2,a3,a4,a6]
Generators	[-322:88:1] [688:6552:1]	Generators of the group modulo torsion
j	1135671162482368/170067681	j-invariant
L	9.2240135199825	L(r)(E,1)/r!
Ω	0.20184535535458	Real period
R	11.424604623137	Regulator
r	2	Rank of the group of rational points
S	1.000000000023	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	92736fc2 46368p1 30912bh2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 92736er2

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	-2	-2	0	-	6	-8	-2	-2	4	0	10	4	-14	-12	-8	10	-8	-16	-10	-14

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Quadratic twists for elliptic curve 92736er2

-4	8	-3
92736fc2	46368p1	30912bh2

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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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