Atkin-Lehner |
2- 5+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
23690f |
Isogeny class |
Conductor |
23690 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
360000 |
Modular degree for the optimal curve |
Δ |
-3022375931084800000 = -1 · 225 · 55 · 234 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -3 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-541903,-174712169] |
[a1,a2,a3,a4,a6] |
Generators |
[883:5446:1] |
Generators of the group modulo torsion |
j |
-17598985224460832564289/3022375931084800000 |
j-invariant |
L |
7.3357804966042 |
L(r)(E,1)/r! |
Ω |
0.08716334855288 |
Real period |
R |
0.84161297361743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118450b1 |
Quadratic twists by: 5 |