Atkin-Lehner |
2- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
36080r |
Isogeny class |
Conductor |
36080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-179992865198080 = -1 · 212 · 5 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12613,345514] |
[a1,a2,a3,a4,a6] |
Generators |
[55:1098:1] [415:8778:1] |
Generators of the group modulo torsion |
j |
54177498820719/43943570605 |
j-invariant |
L |
8.0535342715263 |
L(r)(E,1)/r! |
Ω |
0.36759501488205 |
Real period |
R |
21.908714605692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2255a4 |
Quadratic twists by: -4 |