Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
116865s |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1336320 |
Modular degree for the optimal curve |
Δ |
-899858422008826875 = -1 · 321 · 54 · 72 · 532 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 4 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-76818,-46369836] |
[a1,a2,a3,a4,a6] |
j |
-1403424621297664/25191299851875 |
j-invariant |
L |
0.9643274321456 |
L(r)(E,1)/r! |
Ω |
0.12054087923599 |
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 |
38955o1 116865ba1 |
Quadratic twists by: -3 -7 |