Atkin-Lehner |
2+ 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710c |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-25026618520280 = -1 · 23 · 5 · 139 · 59 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 2 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5066,197056] |
[a1,a2,a3,a4,a6] |
j |
2979767519/5184920 |
j-invariant |
L |
1.8409147366756 |
L(r)(E,1)/r! |
Ω |
0.46022871346493 |
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 |
7670h1 |
Quadratic twists by: 13 |