Atkin-Lehner |
2- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
68672bh |
Isogeny class |
Conductor |
68672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
72007811072 = 226 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 2 -2 0 2 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1089,5345] |
[a1,a2,a3,a4,a6] |
j |
545338513/274688 |
j-invariant |
L |
0.96715032610105 |
L(r)(E,1)/r! |
Ω |
0.96715033094067 |
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 |
68672o1 17168g1 |
Quadratic twists by: -4 8 |