Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488cy |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1645056 |
Modular degree for the optimal curve |
Δ |
-6341768460471631872 = -1 · 220 · 3 · 1710 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 4 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111361,-121965407] |
[a1,a2,a3,a4,a6] |
j |
-289/12 |
j-invariant |
L |
5.2041139644929 |
L(r)(E,1)/r! |
Ω |
0.10408227927883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488bt1 13872bo1 55488ek1 |
Quadratic twists by: -4 8 17 |