Atkin-Lehner |
5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111265d |
Isogeny class |
Conductor |
111265 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46172160 |
Modular degree for the optimal curve |
Δ |
28535207782090625 = 55 · 7 · 11 · 179 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7117772818,-231132466277768] |
[a1,a2,a3,a4,a6] |
j |
1652199744232172318791544721/1182190625 |
j-invariant |
L |
0.82183375631531 |
L(r)(E,1)/r! |
Ω |
0.01643665820053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
100 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6545f1 |
Quadratic twists by: 17 |