Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68244i |
Isogeny class |
Conductor |
68244 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8985600 |
Modular degree for the optimal curve |
Δ |
-6.0804134041653E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 11- -3 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27236172,66328649748] |
[a1,a2,a3,a4,a6] |
j |
-4926810476359662928/1340716738515957 |
j-invariant |
L |
2.0867178265866 |
L(r)(E,1)/r! |
Ω |
0.086946575970647 |
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 |
6204f1 |
Quadratic twists by: -11 |