Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200bq |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1071225000000 = 26 · 34 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17258,-865488] |
[a1,a2,a3,a4,a6] |
Generators |
[21466:1110375:8] |
Generators of the group modulo torsion |
j |
568486650304/1071225 |
j-invariant |
L |
4.8290480897308 |
L(r)(E,1)/r! |
Ω |
0.41658056223123 |
Real period |
R |
5.7960554664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997891 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55200v1 110400dm2 11040h1 |
Quadratic twists by: -4 8 5 |