Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728ea |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-148909505052881664 = -1 · 28 · 38 · 79 · 133 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,131712,2487436] |
[a1,a2,a3,a4,a6] |
j |
33554432/19773 |
j-invariant |
L |
1.5828203541279 |
L(r)(E,1)/r! |
Ω |
0.1978525559522 |
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 |
22932p1 30576cm1 91728fc1 |
Quadratic twists by: -4 -3 -7 |