Atkin-Lehner |
5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92455d |
Isogeny class |
Conductor |
92455 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25200 |
Modular degree for the optimal curve |
Δ |
-11187055 = -1 · 5 · 113 · 412 |
Discriminant |
Eigenvalues |
-1 -2 5+ 1 11- 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-691,6936] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:106:1] [8:40:1] |
Generators of the group modulo torsion |
j |
-21708480289/6655 |
j-invariant |
L |
5.0946325031827 |
L(r)(E,1)/r! |
Ω |
2.222666895025 |
Real period |
R |
0.7640419884958 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92455c1 |
Quadratic twists by: 41 |