Atkin-Lehner |
2+ 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51336c |
Isogeny class |
Conductor |
51336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
303558084432 = 24 · 37 · 234 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1866,16121] |
[a1,a2,a3,a4,a6] |
j |
61604313088/26025213 |
j-invariant |
L |
1.7528354109511 |
L(r)(E,1)/r! |
Ω |
0.87641770582809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102672o1 17112i1 |
Quadratic twists by: -4 -3 |