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	7448v	Isogeny class
Conductor	7448	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	6000	Modular degree for the optimal curve
Δ	-31060185856 = -1 · 28 · 72 · 195	Discriminant
Eigenvalues	2-  2  1 7-  4 -2  7 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1465,-22707]	[a1,a2,a3,a4,a6]
j	-27739393024/2476099	j-invariant
L	3.8386697005459	L(r)(E,1)/r!
Ω	0.38386697005459	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	14896n1 59584w1 67032be1 7448i1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7448v1

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	1	-	4	-2	7	-	-3	4	-4	10	0	-9	4	6	12	2	16	6	-2	4	9	4	4

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Quadratic twists for elliptic curve 7448v1

-4	8	-3	-7
14896n1	59584w1	67032be1	7448i1

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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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