Atkin-Lehner |
2+ 11+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
68816a |
Isogeny class |
Conductor |
68816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-885565027072 = -1 · 28 · 113 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ 0 0 -1 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2060,57836] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:69:1] |
Generators of the group modulo torsion |
j |
-3776464512000/3459238387 |
j-invariant |
L |
4.6538320916364 |
L(r)(E,1)/r! |
Ω |
0.81017179285274 |
Real period |
R |
2.8721267095685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34408d1 |
Quadratic twists by: -4 |