Atkin-Lehner |
2- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192cn |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-292933949456384 = -1 · 234 · 172 · 59 |
Discriminant |
Eigenvalues |
2- -3 3 1 0 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11924,653392] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1156:1] |
Generators of the group modulo torsion |
j |
715236537807/1117454336 |
j-invariant |
L |
4.4622651817084 |
L(r)(E,1)/r! |
Ω |
0.37248581047059 |
Real period |
R |
2.9949229315861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192bf1 16048be1 |
Quadratic twists by: -4 8 |