Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57660h |
Isogeny class |
Conductor |
57660 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
619008 |
Modular degree for the optimal curve |
Δ |
-171328751601148080 = -1 · 24 · 34 · 5 · 319 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39721,-20159680] |
[a1,a2,a3,a4,a6] |
j |
-16384/405 |
j-invariant |
L |
0.83597452598728 |
L(r)(E,1)/r! |
Ω |
0.1393290885836 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57660a1 |
Quadratic twists by: -31 |