Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200hm |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
2203318222848000000 = 238 · 33 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-563233,145997663] |
[a1,a2,a3,a4,a6] |
Generators |
[1594:51675:8] |
Generators of the group modulo torsion |
j |
4824238966273/537919488 |
j-invariant |
L |
8.2478604858358 |
L(r)(E,1)/r! |
Ω |
0.25176710071434 |
Real period |
R |
5.4599803166036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200v1 22800bz1 3648v1 |
Quadratic twists by: -4 8 5 |