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	3248l	Isogeny class
Conductor	3248	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	447194202112 = 217 · 76 · 29	Discriminant
Eigenvalues	2-  0  0 7-  4  0 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-79075,-8558622]	[a1,a2,a3,a4,a6]
Generators	[622:13524:1]	Generators of the group modulo torsion
j	13350003080765625/109178272	j-invariant
L	3.4764729600633	L(r)(E,1)/r!
Ω	0.28470163919011	Real period
R	4.0703113734	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	406a2 12992bi2 29232bu2 81200x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3248l2

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
-	0	0	-	4	0	-4	-4	0	+	6	-2	-8	-4	-2	-2	10	-2	-8	-16	0	4	6	0	12

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Quadratic twists for elliptic curve 3248l2

-4	8	-3	5	-7	29
406a2	12992bi2	29232bu2	81200x2	22736u2	94192be2

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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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