Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400br |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.4356284225E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,616992,-727533988] |
[a1,a2,a3,a4,a6] |
Generators |
[97899971598:6073684259804:26198073] |
Generators of the group modulo torsion |
j |
13799183324/129390625 |
j-invariant |
L |
11.652177916908 |
L(r)(E,1)/r! |
Ω |
0.086828167151982 |
Real period |
R |
16.774766602297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480i2 18200r2 |
Quadratic twists by: 5 -7 |