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	3248f	Isogeny class
Conductor	3248	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-17825024 = -1 · 28 · 74 · 29	Discriminant
Eigenvalues	2-  1 -1 7+ -1  1  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-36,-232]	[a1,a2,a3,a4,a6]
j	-20720464/69629	j-invariant
L	1.788593817204	L(r)(E,1)/r!
Ω	0.89429690860201	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	812b1 12992ba1 29232bd1 81200bk1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3248f1

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	+	-1	1	2	4	6	+	5	-4	-4	11	-3	3	-2	-2	4	10	0	15	6	4	4

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Quadratic twists for elliptic curve 3248f1

-4	8	-3	5	-7	29
812b1	12992ba1	29232bd1	81200bk1	22736w1	94192q1

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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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