Atkin-Lehner |
11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
91333b |
Isogeny class |
Conductor |
91333 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
333648 |
Modular degree for the optimal curve |
Δ |
58410515073493 = 117 · 194 · 23 |
Discriminant |
Eigenvalues |
1 3 0 1 11- -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43207,3448052] |
[a1,a2,a3,a4,a6] |
Generators |
[2928:3134:27] |
Generators of the group modulo torsion |
j |
68450606573625/448204933 |
j-invariant |
L |
15.506521646432 |
L(r)(E,1)/r! |
Ω |
0.62906620039346 |
Real period |
R |
1.1738125368223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91333c1 |
Quadratic twists by: -19 |