Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200p |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
75644928000000 = 220 · 35 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152833,-22942463] |
[a1,a2,a3,a4,a6] |
Generators |
[64605:748544:125] |
Generators of the group modulo torsion |
j |
96386901625/18468 |
j-invariant |
L |
3.574849880464 |
L(r)(E,1)/r! |
Ω |
0.24146268562481 |
Real period |
R |
7.4024892834807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200il1 2850ba1 3648j1 |
Quadratic twists by: -4 8 5 |