Atkin-Lehner |
3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52371c |
Isogeny class |
Conductor |
52371 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-1.7734555099556E+19 |
Discriminant |
Eigenvalues |
1 3- 0 2 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-109602,-203066825] |
[a1,a2,a3,a4,a6] |
j |
-1349232625/164333367 |
j-invariant |
L |
3.1022588960359 |
L(r)(E,1)/r! |
Ω |
0.096945590501375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17457b1 2277a1 |
Quadratic twists by: -3 -23 |