Atkin-Lehner |
2- 3+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270bg |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-2.6153754900413E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-121165652,-519187371721] |
[a1,a2,a3,a4,a6] |
Generators |
[17293727:411928151:1331] |
Generators of the group modulo torsion |
j |
-7286156838954742038925404483/96865758890419628262400 |
j-invariant |
L |
11.030103175011 |
L(r)(E,1)/r! |
Ω |
0.022734276299703 |
Real period |
R |
12.129375738205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36270a2 |
Quadratic twists by: -3 |