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	4896i	Isogeny class
Conductor	4896	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	793152 = 26 · 36 · 17	Discriminant
Eigenvalues	2+ 3- -4  4  2  2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-57,160]	[a1,a2,a3,a4,a6]
Generators	[-4:18:1]	Generators of the group modulo torsion
j	438976/17	j-invariant
L	3.3978286537845	L(r)(E,1)/r!
Ω	2.8078316559783	Real period
R	1.2101254883105	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	4896j1 9792cd1 544f1 122400dh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4896i1

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 4896i1

-4	8	-3	5	17
4896j1	9792cd1	544f1	122400dh1	83232t1

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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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