Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bn |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
-17970776788635 = -1 · 36 · 5 · 118 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- -1 11- -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-55902,-5091408] |
[a1,a2,a3,a4,a6] |
Generators |
[6095376350:106198309057:13481272] |
Generators of the group modulo torsion |
j |
-123633664/115 |
j-invariant |
L |
5.0369859082944 |
L(r)(E,1)/r! |
Ω |
0.15523458994669 |
Real period |
R |
16.223787190289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915b1 125235bm1 |
Quadratic twists by: -3 -11 |