Atkin-Lehner |
2+ 3- 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346m |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
2080324560848292 = 22 · 311 · 11 · 172 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98523,-11674319] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:377:1] |
Generators of the group modulo torsion |
j |
145081335907618993/2853668807748 |
j-invariant |
L |
4.1888273749385 |
L(r)(E,1)/r! |
Ω |
0.26979505455048 |
Real period |
R |
0.97037253488833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34782v1 |
Quadratic twists by: -3 |