Atkin-Lehner |
2+ 3- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100368t |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
13666207248 = 24 · 36 · 17 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 -4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2595,50569] |
[a1,a2,a3,a4,a6] |
Generators |
[1092:6791:64] |
Generators of the group modulo torsion |
j |
165686944000/1171657 |
j-invariant |
L |
7.8136600036719 |
L(r)(E,1)/r! |
Ω |
1.2625276899429 |
Real period |
R |
6.1889019011294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50184k1 11152c1 |
Quadratic twists by: -4 -3 |