Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bo |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-12044773927265625 = -1 · 33 · 57 · 7 · 138 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -5 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14876,5325023] |
[a1,a2,a3,a4,a6] |
j |
-28561/945 |
j-invariant |
L |
4.0165138783905 |
L(r)(E,1)/r! |
Ω |
0.33470949601882 |
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 |
17745k1 88725bu1 |
Quadratic twists by: 5 13 |