Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50562p |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16668288 |
Modular degree for the optimal curve |
Δ |
-9.1376733100414E+24 |
Discriminant |
Eigenvalues |
2+ 3- 0 -5 -2 -6 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100631547,414904429669] |
[a1,a2,a3,a4,a6] |
Generators |
[1910:478277:1] |
Generators of the group modulo torsion |
j |
-2483085516625/201326592 |
j-invariant |
L |
1.8390749090386 |
L(r)(E,1)/r! |
Ω |
0.071567955668224 |
Real period |
R |
3.2121130397449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16854o1 50562bc1 |
Quadratic twists by: -3 53 |