Atkin-Lehner |
5+ 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
104975f |
Isogeny class |
Conductor |
104975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4663296 |
Modular degree for the optimal curve |
Δ |
-1.448565243311E+19 |
Discriminant |
Eigenvalues |
2 1 5+ 4 0 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2908308,-1918744331] |
[a1,a2,a3,a4,a6] |
j |
-174110526670532497408/927081755719067 |
j-invariant |
L |
8.3211561073445 |
L(r)(E,1)/r! |
Ω |
0.057785804480404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4199b1 |
Quadratic twists by: 5 |