Atkin-Lehner |
2- 3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062bt |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
74959589754 = 2 · 36 · 76 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2489,-45313] |
[a1,a2,a3,a4,a6] |
j |
2338337977417/102825226 |
j-invariant |
L |
4.0666553128294 |
L(r)(E,1)/r! |
Ω |
0.67777588585242 |
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 |
6118d1 |
Quadratic twists by: -3 |