Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32912c |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
416640 |
Modular degree for the optimal curve |
Δ |
-12303909911332864 = -1 · 211 · 114 · 177 |
Discriminant |
Eigenvalues |
2+ 0 3 3 11- -4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1656611,-820706942] |
[a1,a2,a3,a4,a6] |
j |
-16768130355156114/410338673 |
j-invariant |
L |
3.3268543704415 |
L(r)(E,1)/r! |
Ω |
0.066537087408906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16456b1 32912l1 |
Quadratic twists by: -4 -11 |