Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192bf |
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 |
[66740700:961311376:421875] |
Generators of the group modulo torsion |
j |
715236537807/1117454336 |
j-invariant |
L |
13.829903514316 |
L(r)(E,1)/r! |
Ω |
0.28891296171435 |
Real period |
R |
11.967188519291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192cn1 2006k1 |
Quadratic twists by: -4 8 |