Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235ca |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3763200 |
Modular degree for the optimal curve |
Δ |
-6202981192668046875 = -1 · 311 · 57 · 117 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 11- -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,406923,66154360] |
[a1,a2,a3,a4,a6] |
Generators |
[253:-13613:1] |
Generators of the group modulo torsion |
j |
5770012921856/4803046875 |
j-invariant |
L |
3.1029632706033 |
L(r)(E,1)/r! |
Ω |
0.1543546326151 |
Real period |
R |
0.3589789191261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998601978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41745g1 11385o1 |
Quadratic twists by: -3 -11 |