Atkin-Lehner |
2+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32110s |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-3.2503514947125E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 3 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-448864173,-3660369822744] |
[a1,a2,a3,a4,a6] |
Generators |
[41903881172865:-4710127672962694:1356572043] |
Generators of the group modulo torsion |
j |
-12260882214781902154921/39845888000 |
j-invariant |
L |
5.7441846253345 |
L(r)(E,1)/r! |
Ω |
0.016399885781393 |
Real period |
R |
19.458755525981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32110u2 |
Quadratic twists by: 13 |