Atkin-Lehner |
3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57717u |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-24846552255591 = -1 · 37 · 118 · 53 |
Discriminant |
Eigenvalues |
1 3- -3 -5 11- 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50661,4408168] |
[a1,a2,a3,a4,a6] |
j |
-92019697/159 |
j-invariant |
L |
1.3440124470593 |
L(r)(E,1)/r! |
Ω |
0.67200622351918 |
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 |
19239d1 57717y1 |
Quadratic twists by: -3 -11 |