Atkin-Lehner |
2- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
96064u |
Isogeny class |
Conductor |
96064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-15915403968512 = -1 · 227 · 19 · 792 |
Discriminant |
Eigenvalues |
2- -1 0 -3 -4 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6753,-284927] |
[a1,a2,a3,a4,a6] |
Generators |
[109:512:1] |
Generators of the group modulo torsion |
j |
-129938649625/60712448 |
j-invariant |
L |
2.9522690894509 |
L(r)(E,1)/r! |
Ω |
0.25754564202999 |
Real period |
R |
1.4328863522368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96064f1 24016j1 |
Quadratic twists by: -4 8 |