Atkin-Lehner |
2- 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
67450l |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
813600 |
Modular degree for the optimal curve |
Δ |
-40376834687500000 = -1 · 25 · 510 · 192 · 713 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 0 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27487,-9504983] |
[a1,a2,a3,a4,a6] |
j |
235182340775/4134587872 |
j-invariant |
L |
1.7682982294075 |
L(r)(E,1)/r! |
Ω |
0.17682982521831 |
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 |
67450f1 |
Quadratic twists by: 5 |