Atkin-Lehner |
2- 3- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
73968o |
Isogeny class |
Conductor |
73968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
18935808 = 212 · 3 · 23 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 4 3 -6 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,212] |
[a1,a2,a3,a4,a6] |
j |
18609625/4623 |
j-invariant |
L |
4.076389915975 |
L(r)(E,1)/r! |
Ω |
2.0381949570916 |
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 |
4623a1 |
Quadratic twists by: -4 |