Atkin-Lehner |
2- 3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290bc |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
78804900 = 22 · 36 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-173,-719] |
[a1,a2,a3,a4,a6] |
j |
781229961/108100 |
j-invariant |
L |
5.3163702823601 |
L(r)(E,1)/r! |
Ω |
1.3290925599057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10810d1 |
Quadratic twists by: -3 |