Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200er |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-9573811200000000 = -1 · 216 · 39 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 1 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60833,7430463] |
[a1,a2,a3,a4,a6] |
Generators |
[283:3600:1] [139:-1296:1] |
Generators of the group modulo torsion |
j |
-972542500/373977 |
j-invariant |
L |
12.585003977164 |
L(r)(E,1)/r! |
Ω |
0.38444272947524 |
Real period |
R |
0.30310838434078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200gt1 11400g1 91200bc1 |
Quadratic twists by: -4 8 5 |