Atkin-Lehner |
2- 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
53560d |
Isogeny class |
Conductor |
53560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-15061928960 = -1 · 210 · 5 · 134 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 6 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,504,4160] |
[a1,a2,a3,a4,a6] |
j |
13799183324/14708915 |
j-invariant |
L |
3.3011469488068 |
L(r)(E,1)/r! |
Ω |
0.82528673745446 |
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 |
107120b1 |
Quadratic twists by: -4 |