Cremona's table of elliptic curves

9282 = 2 · 3 · 7 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 13+ 17+	Signs for the Atkin-Lehner involutions
Class	9282o	Isogeny class
Conductor	9282	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	1920037392 = 24 · 33 · 7 · 133 · 172	Discriminant
Eigenvalues	2- 3+  0 7+  4 13+ 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-8628,304869]	[a1,a2,a3,a4,a6]
j	71032527376098625/1920037392	j-invariant
L	2.7477509703392	L(r)(E,1)/r!
Ω	1.3738754851696	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	74256ct1 27846h1 64974ce1 120666l1	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 9282o1

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
-	+	0	+	4	+	+	0	4	4	0	-4	-8	12	6	2	-2	12	-2	0	10	0	-14	-18	-6

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Quadratic twists for elliptic curve 9282o1

-4	-3	-7	13
74256ct1	27846h1	64974ce1	120666l1

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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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