Atkin-Lehner |
41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89093a |
Isogeny class |
Conductor |
89093 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
10321976515693 = 417 · 53 |
Discriminant |
Eigenvalues |
0 -1 0 -4 6 -2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5603,-44718] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:1677:8] |
Generators of the group modulo torsion |
j |
4096000/2173 |
j-invariant |
L |
2.3600465956089 |
L(r)(E,1)/r! |
Ω |
0.58599304418141 |
Real period |
R |
2.0137155340845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2173c1 |
Quadratic twists by: 41 |