Cremona's table of elliptic curves

4896 = 2⁵ · 3² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 17-	Signs for the Atkin-Lehner involutions
Class	4896j	Isogeny class
Conductor	4896	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	107868672 = 29 · 36 · 172	Discriminant
Eigenvalues	2+ 3- -4 -4 -2  2 17-  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-147,470]	[a1,a2,a3,a4,a6]
Generators	[-7:34:1]	Generators of the group modulo torsion
j	941192/289	j-invariant
L	2.4507469402183	L(r)(E,1)/r!
Ω	1.7416691277539	Real period
R	0.70356272071576	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4896i2 9792ce2 544e2 122400df2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4896j2

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	-4	-2	2	-	8	8	-4	-4	-8	2	-4	0	6	-4	8	4	8	-6	0	4	6	-2

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Quadratic twists for elliptic curve 4896j2

-4	8	-3	5	17
4896i2	9792ce2	544e2	122400df2	83232s2

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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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