Cremona's table of elliptic curves

3248 = 2⁴ · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 7+ 29-	Signs for the Atkin-Lehner involutions
Class	3248j	Isogeny class
Conductor	3248	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	-5820416 = -1 · 212 · 72 · 29	Discriminant
Eigenvalues	2-  1  1 7+  5 -5 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,0,116]	[a1,a2,a3,a4,a6]
Generators	[4:14:1]	Generators of the group modulo torsion
j	-1/1421	j-invariant
L	4.0629973271339	L(r)(E,1)/r!
Ω	1.9073320628239	Real period
R	0.53254981215994	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	203b1 12992y1 29232z1 81200bw1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3248j1

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
-	1	1	+	5	-5	-4	4	-6	-	-7	-10	0	9	-7	3	0	14	6	-8	-16	9	-16	-6	0

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Quadratic twists for elliptic curve 3248j1

-4	8	-3	5	-7	29
203b1	12992y1	29232z1	81200bw1	22736bj1	94192p1

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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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