Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605i |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.2465135640077E+23 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11637989,-7412805212] |
[a1,a2,a3,a4,a6] |
Generators |
[434065530628885814282463071920653:-32915078054291991033930925085487629:376020647417684968173955554417] |
Generators of the group modulo torsion |
j |
822656953/588245 |
j-invariant |
L |
6.3111247585808 |
L(r)(E,1)/r! |
Ω |
0.058791554275105 |
Real period |
R |
53.673736498636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999581158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18515k2 129605ba2 |
Quadratic twists by: -7 -23 |