Atkin-Lehner |
3+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
87567a |
Isogeny class |
Conductor |
87567 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
492800 |
Modular degree for the optimal curve |
Δ |
11660373670498461 = 314 · 176 · 101 |
Discriminant |
Eigenvalues |
0 3+ 3 0 2 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-57029,-678682] |
[a1,a2,a3,a4,a6] |
j |
849816322048/483079869 |
j-invariant |
L |
0.66755047313957 |
L(r)(E,1)/r! |
Ω |
0.33377523556457 |
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 |
303a1 |
Quadratic twists by: 17 |