Atkin-Lehner |
2- 3- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
73692c |
Isogeny class |
Conductor |
73692 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
237312 |
Modular degree for the optimal curve |
Δ |
-1702110992112 = -1 · 24 · 38 · 23 · 893 |
Discriminant |
Eigenvalues |
2- 3- 4 3 6 -2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4773,-141595] |
[a1,a2,a3,a4,a6] |
j |
-1030980626176/145928583 |
j-invariant |
L |
6.8389064017433 |
L(r)(E,1)/r! |
Ω |
0.28495443280261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24564a1 |
Quadratic twists by: -3 |