Atkin-Lehner |
3+ 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77775c |
Isogeny class |
Conductor |
77775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-2099925 = -1 · 34 · 52 · 17 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 4 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,30,45] |
[a1,a2,a3,a4,a6] |
j |
113325935/83997 |
j-invariant |
L |
3.3316251594243 |
L(r)(E,1)/r! |
Ω |
1.6658125860195 |
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 |
77775k1 |
Quadratic twists by: 5 |