Atkin-Lehner |
3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
6765b |
Isogeny class |
Conductor |
6765 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
4604428125 = 33 · 55 · 113 · 41 |
Discriminant |
Eigenvalues |
2 3+ 5+ -4 11+ -4 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-536,3671] |
[a1,a2,a3,a4,a6] |
j |
17061927030784/4604428125 |
j-invariant |
L |
1.283708233401 |
L(r)(E,1)/r! |
Ω |
1.283708233401 |
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 |
108240ca1 20295o1 33825q1 74415a1 |
Quadratic twists by: -4 -3 5 -11 |