Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125235p |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7907328 |
Modular degree for the optimal curve |
Δ |
-5.686066093279E+20 |
Discriminant |
Eigenvalues |
-2 3- 5+ 4 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4835523,4250490934] |
[a1,a2,a3,a4,a6] |
Generators |
[1331:13128:1] |
Generators of the group modulo torsion |
j |
-80017515483136/3638671875 |
j-invariant |
L |
3.8366483342283 |
L(r)(E,1)/r! |
Ω |
0.16211109695724 |
Real period |
R |
3.9444639322375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000022011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41745q1 125235n1 |
Quadratic twists by: -3 -11 |