Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8892j |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
424320 |
Modular degree for the optimal curve |
Δ |
-6.376577988349E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3260241,-4460322051] |
[a1,a2,a3,a4,a6] |
j |
-328568038616615609088/546688785009341767 |
j-invariant |
L |
1.3816224431808 |
L(r)(E,1)/r! |
Ω |
0.053139324737722 |
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 |
35568bk1 988b1 115596o1 |
Quadratic twists by: -4 -3 13 |