Atkin-Lehner |
5+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54145m |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
428064 |
Modular degree for the optimal curve |
Δ |
63402452373203125 = 57 · 710 · 132 · 17 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- -4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-531421,148794127] |
[a1,a2,a3,a4,a6] |
j |
58757088280576/224453125 |
j-invariant |
L |
0.70216628466516 |
L(r)(E,1)/r! |
Ω |
0.35108314264524 |
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 |
54145n1 |
Quadratic twists by: -7 |