Atkin-Lehner |
13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89401a |
Isogeny class |
Conductor |
89401 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4451328 |
Modular degree for the optimal curve |
Δ |
-1.9100322269162E+22 |
Discriminant |
Eigenvalues |
0 1 3 0 -3 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2741631,6416577145] |
[a1,a2,a3,a4,a6] |
j |
262144/2197 |
j-invariant |
L |
0.35718407739082 |
L(r)(E,1)/r! |
Ω |
0.089296022845124 |
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 |
6877b1 89401b1 |
Quadratic twists by: 13 -23 |