Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574by |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
247605787545732 = 22 · 33 · 76 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32733,2136399] |
[a1,a2,a3,a4,a6] |
j |
18609625/1188 |
j-invariant |
L |
1.0900440236305 |
L(r)(E,1)/r! |
Ω |
0.54502201182212 |
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 |
106722cu1 726h1 3234b1 |
Quadratic twists by: -3 -7 -11 |