Atkin-Lehner |
2- 3+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43248u |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-1.4369496956138E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 -5 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1311024,-1912703040] |
[a1,a2,a3,a4,a6] |
j |
-60840954898968260017/350817796780720128 |
j-invariant |
L |
1.517629127661 |
L(r)(E,1)/r! |
Ω |
0.063234546985749 |
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 |
5406k1 129744bd1 |
Quadratic twists by: -4 -3 |