Atkin-Lehner |
2- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55760r |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
55760 = 24 · 5 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -4 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1161,15620] |
[a1,a2,a3,a4,a6] |
j |
10826159079424/3485 |
j-invariant |
L |
2.8448954642854 |
L(r)(E,1)/r! |
Ω |
2.8448954640238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13940d1 |
Quadratic twists by: -4 |