Cremona's table of elliptic curves

2548 = 2² · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 7+ 13-	Signs for the Atkin-Lehner involutions
Class	2548c	Isogeny class
Conductor	2548	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	6492304 = 24 · 74 · 132	Discriminant
Eigenvalues	2-  1 -3 7+  3 13-  3  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-702,6929]	[a1,a2,a3,a4,a6]
Generators	[-26:91:1]	Generators of the group modulo torsion
j	997335808/169	j-invariant
L	3.2246510980904	L(r)(E,1)/r!
Ω	2.3011788152448	Real period
R	0.70065200425275	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	10192p1 40768c1 22932j1 63700c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2548c1

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	-3	+	3	-	3	5	-9	-6	-1	-7	6	8	-3	-9	-9	11	-13	0	-7	-1	-12	-3	2

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Quadratic twists for elliptic curve 2548c1

-4	8	-3	5	-7	13
10192p1	40768c1	22932j1	63700c1	2548f1	33124b1

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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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