Atkin-Lehner |
3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52371d |
Isogeny class |
Conductor |
52371 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-1970506122172869303 = -1 · 314 · 112 · 237 |
Discriminant |
Eigenvalues |
1 3- -2 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,147492,-63958869] |
[a1,a2,a3,a4,a6] |
j |
3288008303/18259263 |
j-invariant |
L |
2.1057794049282 |
L(r)(E,1)/r! |
Ω |
0.13161121286207 |
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 |
17457c1 2277b1 |
Quadratic twists by: -3 -23 |