Atkin-Lehner |
2+ 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
26448i |
Isogeny class |
Conductor |
26448 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1399680 |
Modular degree for the optimal curve |
Δ |
-2403499318128 = -1 · 24 · 315 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 -3 -5 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19682880,-33617534481] |
[a1,a2,a3,a4,a6] |
j |
-52707168473774069565112576/150218707383 |
j-invariant |
L |
1.0751489886015 |
L(r)(E,1)/r! |
Ω |
0.035838299620052 |
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 |
13224f1 105792bh1 79344n1 |
Quadratic twists by: -4 8 -3 |