Atkin-Lehner |
2+ 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26448c |
Isogeny class |
Conductor |
26448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-181406832 = -1 · 24 · 3 · 194 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 -3 5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248,-1557] |
[a1,a2,a3,a4,a6] |
j |
-105854368000/11337927 |
j-invariant |
L |
1.1954235302583 |
L(r)(E,1)/r! |
Ω |
0.59771176512907 |
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 |
13224h1 105792bp1 79344e1 |
Quadratic twists by: -4 8 -3 |