Atkin-Lehner |
2- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32674a |
Isogeny class |
Conductor |
32674 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
79560 |
Modular degree for the optimal curve |
Δ |
-37169223049216 = -1 · 213 · 173 · 314 |
Discriminant |
Eigenvalues |
2- 0 1 0 -6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20842,-1189463] |
[a1,a2,a3,a4,a6] |
j |
-1084115556081/40247296 |
j-invariant |
L |
2.5771178240784 |
L(r)(E,1)/r! |
Ω |
0.19823983262131 |
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 |
32674c1 |
Quadratic twists by: -31 |