Atkin-Lehner |
2- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550bm |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-230220800000000 = -1 · 216 · 58 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 1 5- 1 4 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71888,-7460608] |
[a1,a2,a3,a4,a6] |
Generators |
[416:5680:1] |
Generators of the group modulo torsion |
j |
-105180022350625/589365248 |
j-invariant |
L |
9.3601788572944 |
L(r)(E,1)/r! |
Ω |
0.14573367977255 |
Real period |
R |
2.0071241578952 |
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 |
19550c1 |
Quadratic twists by: 5 |