Atkin-Lehner |
3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025bp |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
4532933390625 = 310 · 56 · 173 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5180,-99178] |
[a1,a2,a3,a4,a6] |
j |
274625/81 |
j-invariant |
L |
1.1510456760516 |
L(r)(E,1)/r! |
Ω |
0.57552283941524 |
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 |
21675q1 2601i1 65025bq1 |
Quadratic twists by: -3 5 17 |