Atkin-Lehner |
2- 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
98294q |
Isogeny class |
Conductor |
98294 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
198144 |
Modular degree for the optimal curve |
Δ |
1909743510248 = 23 · 77 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 2 0 7- 0 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5783,-158075] |
[a1,a2,a3,a4,a6] |
j |
181802454625/16232552 |
j-invariant |
L |
6.6071270193034 |
L(r)(E,1)/r! |
Ω |
0.55059391291402 |
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 |
14042f1 |
Quadratic twists by: -7 |