Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200ht |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-554496000000000 = -1 · 218 · 3 · 59 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2367,1132863] |
[a1,a2,a3,a4,a6] |
Generators |
[74:1311:1] |
Generators of the group modulo torsion |
j |
357911/135375 |
j-invariant |
L |
6.0482405478017 |
L(r)(E,1)/r! |
Ω |
0.40280234008154 |
Real period |
R |
3.7538514231182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200bd1 22800cf1 18240cc1 |
Quadratic twists by: -4 8 5 |