Atkin-Lehner |
2- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14416c |
Isogeny class |
Conductor |
14416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
56527327232 = 212 · 173 · 532 |
Discriminant |
Eigenvalues |
2- 0 0 -2 6 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1355,15418] |
[a1,a2,a3,a4,a6] |
j |
67170974625/13800617 |
j-invariant |
L |
2.112097329871 |
L(r)(E,1)/r! |
Ω |
1.0560486649355 |
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 |
901a1 57664z1 129744bz1 |
Quadratic twists by: -4 8 -3 |