Atkin-Lehner |
2+ 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
67450f |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
162720 |
Modular degree for the optimal curve |
Δ |
-2584117420000 = -1 · 25 · 54 · 192 · 713 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 0 3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1100,-75600] |
[a1,a2,a3,a4,a6] |
j |
235182340775/4134587872 |
j-invariant |
L |
2.3724210511916 |
L(r)(E,1)/r! |
Ω |
0.39540350963755 |
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 |
67450l1 |
Quadratic twists by: 5 |