Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bp |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-22185004545 = -1 · 313 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11- 2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-864,-11907] |
[a1,a2,a3,a4,a6] |
Generators |
[49915812:266798325:912673] |
Generators of the group modulo torsion |
j |
-809160649/251505 |
j-invariant |
L |
10.687433536946 |
L(r)(E,1)/r! |
Ω |
0.43337159975857 |
Real period |
R |
12.330565173356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41745x1 125235bw1 |
Quadratic twists by: -3 -11 |