Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200hm |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1103810789376000000 = 228 · 36 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8755233,9968205663] |
[a1,a2,a3,a4,a6] |
Generators |
[858:55575:1] |
Generators of the group modulo torsion |
j |
18120364883707393/269485056 |
j-invariant |
L |
8.2478604858358 |
L(r)(E,1)/r! |
Ω |
0.25176710071434 |
Real period |
R |
2.7299901583018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000271 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91200v2 22800bz2 3648v2 |
Quadratic twists by: -4 8 5 |