Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59840bb |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-266673848320 = -1 · 224 · 5 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2828,62992] |
[a1,a2,a3,a4,a6] |
j |
-9541617561/1017280 |
j-invariant |
L |
1.9100145517186 |
L(r)(E,1)/r! |
Ω |
0.95500727605283 |
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 |
59840b1 14960m1 |
Quadratic twists by: -4 8 |