Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26208j |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
428397600181824 = 26 · 314 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82281,9029680] |
[a1,a2,a3,a4,a6] |
j |
1320428512222912/9182047329 |
j-invariant |
L |
1.0656015182504 |
L(r)(E,1)/r! |
Ω |
0.53280075912534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26208q1 52416fh2 8736v1 |
Quadratic twists by: -4 8 -3 |