Atkin-Lehner |
2- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
65072v |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-2293581960183808 = -1 · 225 · 77 · 83 |
Discriminant |
Eigenvalues |
2- 0 0 7- 3 6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19355,2526538] |
[a1,a2,a3,a4,a6] |
j |
-1664006625/4759552 |
j-invariant |
L |
3.247312851841 |
L(r)(E,1)/r! |
Ω |
0.40591410601521 |
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 |
8134e1 9296b1 |
Quadratic twists by: -4 -7 |