Atkin-Lehner |
2- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
36080s |
Isogeny class |
Conductor |
36080 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-5.0827673773015E+22 |
Discriminant |
Eigenvalues |
2- -1 5- 3 11+ 0 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9935920,-16213192768] |
[a1,a2,a3,a4,a6] |
j |
-26484273620628486652081/12409100042240000000 |
j-invariant |
L |
2.3286162465751 |
L(r)(E,1)/r! |
Ω |
0.041582432974492 |
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 |
4510j1 |
Quadratic twists by: -4 |