Atkin-Lehner |
2- 3+ 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346bn |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
40068864 = 28 · 33 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 11- 5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-512,-4317] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:9:1] |
Generators of the group modulo torsion |
j |
548749795203/1484032 |
j-invariant |
L |
11.182725159482 |
L(r)(E,1)/r! |
Ω |
1.0039658574731 |
Real period |
R |
0.69615945264977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104346e1 |
Quadratic twists by: -3 |