Atkin-Lehner |
3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99705c |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
3539171054625 = 3 · 53 · 177 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-882901,-319680526] |
[a1,a2,a3,a4,a6] |
j |
3153306897252721/146625 |
j-invariant |
L |
0.31149551659142 |
L(r)(E,1)/r! |
Ω |
0.15574766743813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5865h1 |
Quadratic twists by: 17 |