Atkin-Lehner |
2+ 5- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
53560b |
Isogeny class |
Conductor |
53560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
289652480000 = 211 · 54 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 3 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132227,18506654] |
[a1,a2,a3,a4,a6] |
j |
124840124703778482/141431875 |
j-invariant |
L |
3.2831056699052 |
L(r)(E,1)/r! |
Ω |
0.82077641748134 |
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 |
107120f1 |
Quadratic twists by: -4 |