Atkin-Lehner |
2+ 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
92752b |
Isogeny class |
Conductor |
92752 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
148992 |
Modular degree for the optimal curve |
Δ |
-4817105078896 = -1 · 24 · 112 · 174 · 313 |
Discriminant |
Eigenvalues |
2+ -2 1 1 11+ -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-220,105531] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:289:1] [25:341:1] |
Generators of the group modulo torsion |
j |
-73934023936/301069067431 |
j-invariant |
L |
8.6269178140609 |
L(r)(E,1)/r! |
Ω |
0.61804214663278 |
Real period |
R |
1.1632051661912 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46376f1 |
Quadratic twists by: -4 |