Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
112360d |
Isogeny class |
Conductor |
112360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-30072605179827200 = -1 · 210 · 52 · 537 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 0 1 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113296,-16921520] |
[a1,a2,a3,a4,a6] |
j |
-7086244/1325 |
j-invariant |
L |
2.0608907264421 |
L(r)(E,1)/r! |
Ω |
0.12880566971118 |
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 |
2120a1 |
Quadratic twists by: 53 |