Atkin-Lehner |
2- 3- 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
92430bp |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-2514999891456000 = -1 · 212 · 314 · 53 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8518,-2395911] |
[a1,a2,a3,a4,a6] |
j |
93768482797991/3449931264000 |
j-invariant |
L |
7.9178358216144 |
L(r)(E,1)/r! |
Ω |
0.21993988460516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30810a1 |
Quadratic twists by: -3 |