Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6358i |
Isogeny class |
Conductor |
6358 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
10584 |
Modular degree for the optimal curve |
Δ |
-806688391168 = -1 · 221 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 2 0 -2 11- -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1677,-33487] |
[a1,a2,a3,a4,a6] |
Generators |
[99:1006:1] |
Generators of the group modulo torsion |
j |
1804716011375/2791309312 |
j-invariant |
L |
7.5706089544276 |
L(r)(E,1)/r! |
Ω |
0.47244470257277 |
Real period |
R |
0.25435441533714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50864bf1 57222d1 69938d1 6358h1 |
Quadratic twists by: -4 -3 -11 17 |