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	2548h	Isogeny class
Conductor	2548	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-2740751104 = -1 · 28 · 77 · 13	Discriminant
Eigenvalues	2-  2 -1 7- -4 13+  2  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-261,-2911]	[a1,a2,a3,a4,a6]
Generators	[47:294:1]	Generators of the group modulo torsion
j	-65536/91	j-invariant
L	3.997830819426	L(r)(E,1)/r!
Ω	0.56504803271624	Real period
R	1.1792008784953	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	10192ba1 40768bu1 22932n1 63700bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2548h1

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	1	-7	-5	9	-2	-2	1	-9	3	0	-14	10	-14	-3	5	-5	9	1

---

Quadratic twists for elliptic curve 2548h1

-4	8	-3	5	-7	13
10192ba1	40768bu1	22932n1	63700bc1	364b1	33124p1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations