Atkin-Lehner |
2- 3+ 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720s |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
117056160000 = 28 · 32 · 54 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26996,-1698204] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:4:1] |
Generators of the group modulo torsion |
j |
8499592262426704/457250625 |
j-invariant |
L |
4.2514316597402 |
L(r)(E,1)/r! |
Ω |
0.37245581666954 |
Real period |
R |
2.8536483184719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999149 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440x1 |
Quadratic twists by: -4 |