Atkin-Lehner |
2+ 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
84816c |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-8849666071728 = -1 · 24 · 313 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -6 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4794,64519] |
[a1,a2,a3,a4,a6] |
j |
1044648753152/758716227 |
j-invariant |
L |
0.93193727244359 |
L(r)(E,1)/r! |
Ω |
0.46596864823369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42408g1 28272b1 |
Quadratic twists by: -4 -3 |