Atkin-Lehner |
2+ 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55760c |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
1895840000 = 28 · 54 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -2 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3916,95616] |
[a1,a2,a3,a4,a6] |
j |
25949123563984/7405625 |
j-invariant |
L |
2.8948581901343 |
L(r)(E,1)/r! |
Ω |
1.4474290968382 |
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 |
27880c1 |
Quadratic twists by: -4 |