Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775cn |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
447552 |
Modular degree for the optimal curve |
Δ |
-193650024216796875 = -1 · 33 · 59 · 710 · 13 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 13- -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-80033,22868969] |
[a1,a2,a3,a4,a6] |
j |
-12845056/43875 |
j-invariant |
L |
1.6742328600041 |
L(r)(E,1)/r! |
Ω |
0.27903881002049 |
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 |
9555b1 47775a1 |
Quadratic twists by: 5 -7 |