Atkin-Lehner |
2+ 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
57850h |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141600 |
Modular degree for the optimal curve |
Δ |
-4700312500000 = -1 · 25 · 510 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 -1 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12200,524000] |
[a1,a2,a3,a4,a6] |
j |
-20566423825/481312 |
j-invariant |
L |
1.5421184626113 |
L(r)(E,1)/r! |
Ω |
0.77105923124999 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57850u1 |
Quadratic twists by: 5 |