Atkin-Lehner |
2+ 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
92256a |
Isogeny class |
Conductor |
92256 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1041600 |
Modular degree for the optimal curve |
Δ |
-955019621828335104 = -1 · 29 · 37 · 318 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 1 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69512,47567400] |
[a1,a2,a3,a4,a6] |
Generators |
[41835625:5772352210:2197] |
Generators of the group modulo torsion |
j |
-85064/2187 |
j-invariant |
L |
7.2949970472819 |
L(r)(E,1)/r! |
Ω |
0.23344314833327 |
Real period |
R |
10.416521975934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92256g1 92256h1 |
Quadratic twists by: -4 -31 |