Atkin-Lehner |
5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108445b |
Isogeny class |
Conductor |
108445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
50167974945640625 = 56 · 238 · 41 |
Discriminant |
Eigenvalues |
1 0 5+ -2 0 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-507410,138827991] |
[a1,a2,a3,a4,a6] |
j |
97596500046921/338890625 |
j-invariant |
L |
0.71576345930968 |
L(r)(E,1)/r! |
Ω |
0.35788187346601 |
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 |
4715b1 |
Quadratic twists by: -23 |