Atkin-Lehner |
5- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
128975p |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10299520 |
Modular degree for the optimal curve |
Δ |
-9.1147420626928E+20 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- 11- -1 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15164513,22774650892] |
[a1,a2,a3,a4,a6] |
j |
-197459975193585878717/466674793609871 |
j-invariant |
L |
0.315491437564 |
L(r)(E,1)/r! |
Ω |
0.15774703982011 |
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 |
128975l1 |
Quadratic twists by: 5 |