Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200bj |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-5452595200000000 = -1 · 230 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- -5 3 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52208,5822912] |
[a1,a2,a3,a4,a6] |
j |
-9836106385/3407872 |
j-invariant |
L |
2.4254240650195 |
L(r)(E,1)/r! |
Ω |
0.40423734416991 |
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 |
650l1 20800dv1 46800fr1 5200t1 |
Quadratic twists by: -4 8 -3 5 |