Atkin-Lehner |
2- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
68672bf |
Isogeny class |
Conductor |
68672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
17580032 = 214 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1436,-20944] |
[a1,a2,a3,a4,a6] |
j |
19987896528/1073 |
j-invariant |
L |
0.77555455350541 |
L(r)(E,1)/r! |
Ω |
0.77555453838479 |
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 |
68672m1 17168a1 |
Quadratic twists by: -4 8 |