Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24752y |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-95421990436864 = -1 · 219 · 77 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -2 3 7+ -4 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13384,754548] |
[a1,a2,a3,a4,a6] |
j |
-64737212661577/23296384384 |
j-invariant |
L |
1.1312561280564 |
L(r)(E,1)/r! |
Ω |
0.56562806402806 |
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 |
3094c1 99008bz1 |
Quadratic twists by: -4 8 |