Atkin-Lehner |
3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469bb |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-1042285123420779 = -1 · 3 · 79 · 172 · 313 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 0 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-22066,-2008478] |
[a1,a2,a3,a4,a6] |
j |
-29446377472/25828797 |
j-invariant |
L |
0.75571560569656 |
L(r)(E,1)/r! |
Ω |
0.1889289001444 |
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 |
77469h1 |
Quadratic twists by: -7 |