Atkin-Lehner |
2- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
59840bg |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-2666738483200000 = -1 · 228 · 55 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,34228,481936] |
[a1,a2,a3,a4,a6] |
j |
16917195186711/10172800000 |
j-invariant |
L |
2.7891061095502 |
L(r)(E,1)/r! |
Ω |
0.27891061112503 |
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 |
59840r1 14960j1 |
Quadratic twists by: -4 8 |