Atkin-Lehner |
2- 3- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
52452d |
Isogeny class |
Conductor |
52452 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-3820344143937264 = -1 · 24 · 320 · 31 · 472 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -2 -4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31299,2073877] |
[a1,a2,a3,a4,a6] |
j |
290715098300672/327532934151 |
j-invariant |
L |
3.5268464347263 |
L(r)(E,1)/r! |
Ω |
0.29390386962999 |
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 |
17484c1 |
Quadratic twists by: -3 |