Atkin-Lehner |
2- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12200m |
Isogeny class |
Conductor |
12200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3312 |
Modular degree for the optimal curve |
Δ |
-78080000 = -1 · 211 · 54 · 61 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608,-5588] |
[a1,a2,a3,a4,a6] |
j |
-19450850/61 |
j-invariant |
L |
0.48056550899411 |
L(r)(E,1)/r! |
Ω |
0.48056550899411 |
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 |
24400l1 97600x1 109800ba1 12200a1 |
Quadratic twists by: -4 8 -3 5 |