Atkin-Lehner |
2+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31552i |
Isogeny class |
Conductor |
31552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1847701274624 = -1 · 218 · 172 · 293 |
Discriminant |
Eigenvalues |
2+ 3 -1 -2 -3 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3628,106544] |
[a1,a2,a3,a4,a6] |
j |
-20145851361/7048421 |
j-invariant |
L |
3.1457730060666 |
L(r)(E,1)/r! |
Ω |
0.78644325151533 |
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 |
31552s1 493b1 |
Quadratic twists by: -4 8 |