Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400eh |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-2384640000000 = -1 · 214 · 34 · 57 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 6 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20133,1095363] |
[a1,a2,a3,a4,a6] |
Generators |
[78:75:1] |
Generators of the group modulo torsion |
j |
-3525581824/9315 |
j-invariant |
L |
8.6090876924136 |
L(r)(E,1)/r! |
Ω |
0.81928747413994 |
Real period |
R |
1.3135022811583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999567388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400fv1 13800h1 22080p1 |
Quadratic twists by: -4 8 5 |