Atkin-Lehner |
2- 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128832bl |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
11197440 |
Modular degree for the optimal curve |
Δ |
-5.7097503134755E+20 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,692255,-1127844961] |
[a1,a2,a3,a4,a6] |
j |
139952759660884871/2178096890821632 |
j-invariant |
L |
1.4389410472145 |
L(r)(E,1)/r! |
Ω |
0.079941216992101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832k1 32208k1 |
Quadratic twists by: -4 8 |