Atkin-Lehner |
2+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
80800b |
Isogeny class |
Conductor |
80800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
101000000 = 26 · 56 · 101 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3358,-73788] |
[a1,a2,a3,a4,a6] |
Generators |
[18222:104975:216] |
Generators of the group modulo torsion |
j |
4188852928/101 |
j-invariant |
L |
8.4544383688702 |
L(r)(E,1)/r! |
Ω |
0.62714683223317 |
Real period |
R |
6.7403978914365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972312 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80800h1 3232c1 |
Quadratic twists by: -4 5 |