Atkin-Lehner |
2- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52288n |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
264192 |
Modular degree for the optimal curve |
Δ |
-768395052941312 = -1 · 215 · 193 · 434 |
Discriminant |
Eigenvalues |
2- -1 0 3 -2 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-307553,-65560127] |
[a1,a2,a3,a4,a6] |
j |
-98182727434637000/23449556059 |
j-invariant |
L |
0.40545552082061 |
L(r)(E,1)/r! |
Ω |
0.10136388017917 |
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 |
52288t1 26144b1 |
Quadratic twists by: -4 8 |