Atkin-Lehner |
2- 5+ 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
118450j |
Isogeny class |
Conductor |
118450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2612736 |
Modular degree for the optimal curve |
Δ |
-39162531250000 = -1 · 24 · 59 · 233 · 103 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6328088,6124490281] |
[a1,a2,a3,a4,a6] |
j |
-1793581931591244092089/2506402000 |
j-invariant |
L |
3.3082380490407 |
L(r)(E,1)/r! |
Ω |
0.41352972646504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23690b1 |
Quadratic twists by: 5 |