Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600c |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-65654187680000000 = -1 · 211 · 57 · 177 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 4 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,12327188] |
[a1,a2,a3,a4,a6] |
Generators |
[164:4046:1] |
Generators of the group modulo torsion |
j |
-2/85 |
j-invariant |
L |
7.8495924686171 |
L(r)(E,1)/r! |
Ω |
0.27804499642174 |
Real period |
R |
1.7644609174596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57800b1 23120b1 6800b1 |
Quadratic twists by: -4 5 17 |