Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488bl |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.9450626538058E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30407809,-77498755105] |
[a1,a2,a3,a4,a6] |
Generators |
[14155:1525920:1] [33730:-6105165:1] |
Generators of the group modulo torsion |
j |
-491411892194497/125563633938 |
j-invariant |
L |
10.476138178312 |
L(r)(E,1)/r! |
Ω |
0.031720333885419 |
Real period |
R |
41.283212119352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488cp5 1734i6 3264h6 |
Quadratic twists by: -4 8 17 |