Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bq |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
-655951323561966135 = -1 · 37 · 5 · 118 · 234 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-150849,45059328] |
[a1,a2,a3,a4,a6] |
Generators |
[15156:296505:64] |
Generators of the group modulo torsion |
j |
-293946977449/507911415 |
j-invariant |
L |
10.872890366682 |
L(r)(E,1)/r! |
Ω |
0.2572992819003 |
Real period |
R |
5.2822195138701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41745y1 11385p1 |
Quadratic twists by: -3 -11 |