Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240x |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5440 |
Modular degree for the optimal curve |
Δ |
-56995840 = -1 · 212 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- -3 11- 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,365] |
[a1,a2,a3,a4,a6] |
j |
-4096/13915 |
j-invariant |
L |
3.1834429139965 |
L(r)(E,1)/r! |
Ω |
1.5917214569983 |
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 |
1265a1 80960bi1 101200bz1 |
Quadratic twists by: -4 8 5 |