Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125235n |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-320963607421875 = -1 · 310 · 59 · 112 · 23 |
Discriminant |
Eigenvalues |
2 3- 5+ -4 11- -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-39963,-3193457] |
[a1,a2,a3,a4,a6] |
Generators |
[2423662935308002:56411092237355593:3939820186184] |
Generators of the group modulo torsion |
j |
-80017515483136/3638671875 |
j-invariant |
L |
8.7323627126373 |
L(r)(E,1)/r! |
Ω |
0.16838477081369 |
Real period |
R |
25.92978768341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41745r1 125235p1 |
Quadratic twists by: -3 -11 |