Atkin-Lehner |
2+ 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55760f |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
4576785156250000 = 24 · 512 · 17 · 413 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 4 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92120,10226975] |
[a1,a2,a3,a4,a6] |
j |
5403438735573473536/286049072265625 |
j-invariant |
L |
5.1488980194259 |
L(r)(E,1)/r! |
Ω |
0.42907483472614 |
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 |
27880h1 |
Quadratic twists by: -4 |