Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54672y |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
129435303936 = 217 · 3 · 173 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -1 -1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2184,34548] |
[a1,a2,a3,a4,a6] |
Generators |
[58:1107:8] |
Generators of the group modulo torsion |
j |
281397674377/31600416 |
j-invariant |
L |
10.32008887922 |
L(r)(E,1)/r! |
Ω |
1.0080680515535 |
Real period |
R |
5.1187461319127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834a1 |
Quadratic twists by: -4 |