Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200co |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
106875000000 = 26 · 32 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5908,-176062] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:18:1] [737:19908:1] |
Generators of the group modulo torsion |
j |
22809653056/106875 |
j-invariant |
L |
12.939832627218 |
L(r)(E,1)/r! |
Ω |
0.54469798008141 |
Real period |
R |
11.877988445361 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200w1 45600bb3 18240b1 |
Quadratic twists by: -4 8 5 |