Cremona's table of elliptic curves

7448 = 2³ · 7² · 19

Field	Data	Notes
Atkin-Lehner	2- 7- 19+	Signs for the Atkin-Lehner involutions
Class	7448p	Isogeny class
Conductor	7448	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	20160	Modular degree for the optimal curve
Δ	-495999419620096 = -1 · 28 · 710 · 193	Discriminant
Eigenvalues	2-  0 -2 7- -1 -2  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,9604,1008420]	[a1,a2,a3,a4,a6]
Generators	[8:1042:1]	Generators of the group modulo torsion
j	1354752/6859	j-invariant
L	3.3149602954542	L(r)(E,1)/r!
Ω	0.37664890050596	Real period
R	4.4005973348139	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	14896o1 59584bb1 67032v1 7448j1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7448p1

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	-2	-	-1	-2	3	+	3	6	10	4	10	-4	-13	-12	6	9	14	-2	-1	-8	-5	-6	-18

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Quadratic twists for elliptic curve 7448p1

-4	8	-3	-7
14896o1	59584bb1	67032v1	7448j1

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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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