Atkin-Lehner |
2- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31654v |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-40073847423572564 = -1 · 22 · 77 · 173 · 195 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,32502,-9371715] |
[a1,a2,a3,a4,a6] |
j |
32275892242719/340622082836 |
j-invariant |
L |
2.147299514479 |
L(r)(E,1)/r! |
Ω |
0.17894162620695 |
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 |
4522i1 |
Quadratic twists by: -7 |