Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050it |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
24710400 |
Modular degree for the optimal curve |
Δ |
-4.4874334720052E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25978763,113949816267] |
[a1,a2,a3,a4,a6] |
Generators |
[-36034:3006917:8] |
Generators of the group modulo torsion |
j |
-23156749680625/53591573322 |
j-invariant |
L |
12.947101021712 |
L(r)(E,1)/r! |
Ω |
0.068690525870476 |
Real period |
R |
4.8329364653267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050z1 127050el1 |
Quadratic twists by: 5 -11 |