Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080cg |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1003520 |
Modular degree for the optimal curve |
Δ |
-8115839371767600 = -1 · 24 · 320 · 52 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 0 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-754482,252281581] |
[a1,a2,a3,a4,a6] |
j |
-4072141404585416704/695802415275 |
j-invariant |
L |
3.2138827951571 |
L(r)(E,1)/r! |
Ω |
0.4017353457551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360j1 |
Quadratic twists by: -3 |