Atkin-Lehner |
2+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
71672d |
Isogeny class |
Conductor |
71672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-11972234224 = -1 · 24 · 176 · 31 |
Discriminant |
Eigenvalues |
2+ 2 -1 3 2 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,5309] |
[a1,a2,a3,a4,a6] |
j |
-256/31 |
j-invariant |
L |
4.1655916855626 |
L(r)(E,1)/r! |
Ω |
1.0413979268775 |
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 |
248a1 |
Quadratic twists by: 17 |