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	3248i	Isogeny class
Conductor	3248	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	8589706234167296 = 220 · 710 · 29	Discriminant
Eigenvalues	2- -2  2 7+ -4 -2 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-627912,191251060]	[a1,a2,a3,a4,a6]
j	6684374974140996553/2097096248576	j-invariant
L	0.80841678855333	L(r)(E,1)/r!
Ω	0.40420839427667	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	406d2 12992bd2 29232bf2 81200bo2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3248i2

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
-	-2	2	+	-4	-2	-4	-2	0	+	2	2	8	8	-6	6	4	4	4	-8	-12	12	0	4	4

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Quadratic twists for elliptic curve 3248i2

-4	8	-3	5	-7	29
406d2	12992bd2	29232bf2	81200bo2	22736bc2	94192t2

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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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