Atkin-Lehner |
13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89401c |
Isogeny class |
Conductor |
89401 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2471040 |
Modular degree for the optimal curve |
Δ |
-6.3880676485491E+19 |
Discriminant |
Eigenvalues |
1 -2 -3 2 0 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,266340,380906567] |
[a1,a2,a3,a4,a6] |
j |
17303/529 |
j-invariant |
L |
0.8876961090884 |
L(r)(E,1)/r! |
Ω |
0.14794934061822 |
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 |
89401d1 3887a1 |
Quadratic twists by: 13 -23 |