Atkin-Lehner |
3- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72561o |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
81000 |
Modular degree for the optimal curve |
Δ |
-28368666243 = -1 · 32 · 196 · 67 |
Discriminant |
Eigenvalues |
2 3- 0 0 -6 -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,602,-5579] |
[a1,a2,a3,a4,a6] |
j |
512000/603 |
j-invariant |
L |
1.2701853958858 |
L(r)(E,1)/r! |
Ω |
0.63509271271913 |
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 |
201a1 |
Quadratic twists by: -19 |