Atkin-Lehner |
5+ 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9805b |
Isogeny class |
Conductor |
9805 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8208 |
Modular degree for the optimal curve |
Δ |
335576125 = 53 · 373 · 53 |
Discriminant |
Eigenvalues |
-1 3 5+ 2 -3 3 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-453,-3488] |
[a1,a2,a3,a4,a6] |
j |
10259335203489/335576125 |
j-invariant |
L |
3.1112988675641 |
L(r)(E,1)/r! |
Ω |
1.0370996225214 |
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 |
88245g1 49025c1 |
Quadratic twists by: -3 5 |