Cremona's table of elliptic curves

26448 = 2⁴ · 3 · 19 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 19+ 29-	Signs for the Atkin-Lehner involutions
Class	26448n	Isogeny class
Conductor	26448	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	181440	Modular degree for the optimal curve
Δ	-47740654570608 = -1 · 24 · 37 · 196 · 29	Discriminant
Eigenvalues	2- 3+ -4 -1  5  3  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-184970,-30559869]	[a1,a2,a3,a4,a6]
Generators	[223229764125:-5102311831107:278445077]	Generators of the group modulo torsion
j	-43743141251266567936/2983790910663	j-invariant
L	3.5688688408163	L(r)(E,1)/r!
Ω	0.11510448918383	Real period
R	15.502735237009	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	6612d1 105792bw1 79344bk1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 26448n1

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
-	+	-4	-1	5	3	3	+	4	-	-4	6	-10	0	1	4	0	-6	-9	-4	-4	-4	-6	-9	-6

---

Quadratic twists for elliptic curve 26448n1

-4	8	-3
6612d1	105792bw1	79344bk1

---

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