Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6358d |
Isogeny class |
Conductor |
6358 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
50842602939392 = 210 · 112 · 177 |
Discriminant |
Eigenvalues |
2+ 0 0 2 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9302,-37132] |
[a1,a2,a3,a4,a6] |
j |
3687953625/2106368 |
j-invariant |
L |
1.0527650044619 |
L(r)(E,1)/r! |
Ω |
0.52638250223097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50864ba1 57222bg1 69938l1 374a1 |
Quadratic twists by: -4 -3 -11 17 |