Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080dm |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-725483520 = -1 · 217 · 33 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -4 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[0:36:1] |
Generators of the group modulo torsion |
j |
-54/205 |
j-invariant |
L |
8.2823539756235 |
L(r)(E,1)/r! |
Ω |
1.2871645138294 |
Real period |
R |
1.6086432409372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080m1 29520a1 118080di1 |
Quadratic twists by: -4 8 -3 |