Atkin-Lehner |
2- 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111300n |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-53009964000000 = -1 · 28 · 36 · 56 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6133,-398137] |
[a1,a2,a3,a4,a6] |
j |
-6379012096/13252491 |
j-invariant |
L |
4.5556023305423 |
L(r)(E,1)/r! |
Ω |
0.25308900727268 |
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 |
4452c1 |
Quadratic twists by: 5 |