Atkin-Lehner |
3- 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
101775o |
Isogeny class |
Conductor |
101775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
7315078125 = 3 · 57 · 232 · 59 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 -1 5 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1158,14219] |
[a1,a2,a3,a4,a6] |
j |
11000295424/468165 |
j-invariant |
L |
10.480481957142 |
L(r)(E,1)/r! |
Ω |
1.3100602530986 |
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 |
20355b1 |
Quadratic twists by: 5 |