Atkin-Lehner |
2- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
57820i |
Isogeny class |
Conductor |
57820 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-1156400 = -1 · 24 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 0 -2 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,77] |
[a1,a2,a3,a4,a6] |
j |
-3096576/1475 |
j-invariant |
L |
5.1210887653305 |
L(r)(E,1)/r! |
Ω |
2.560544385052 |
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 |
57820j1 |
Quadratic twists by: -7 |