Atkin-Lehner |
2+ 3- 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32922d |
Isogeny class |
Conductor |
32922 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-19353369947904 = -1 · 28 · 36 · 313 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2754,-204908] |
[a1,a2,a3,a4,a6] |
j |
3168102940703/26547832576 |
j-invariant |
L |
2.0404072497392 |
L(r)(E,1)/r! |
Ω |
0.34006787495493 |
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 |
3658c1 |
Quadratic twists by: -3 |