Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190cv |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-15066719838044160 = -1 · 215 · 3 · 5 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2015560,1101239360] |
[a1,a2,a3,a4,a6] |
Generators |
[472:15736:1] |
Generators of the group modulo torsion |
j |
-511157582445795481/8504770560 |
j-invariant |
L |
12.730733057058 |
L(r)(E,1)/r! |
Ω |
0.36120525592824 |
Real period |
R |
0.58741914964426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4290n2 |
Quadratic twists by: -11 |