Atkin-Lehner |
3+ 5+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
77265b |
Isogeny class |
Conductor |
77265 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-143969343757873155 = -1 · 39 · 5 · 175 · 1013 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -4 -4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,100695,-13516084] |
[a1,a2,a3,a4,a6] |
j |
5736588689755197/7314400434785 |
j-invariant |
L |
1.7448544670117 |
L(r)(E,1)/r! |
Ω |
0.17448544514794 |
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 |
77265c1 |
Quadratic twists by: -3 |