Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472cu |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.8673751500153E+24 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11103380,-80216241072] |
[a1,a2,a3,a4,a6] |
Generators |
[37300669060:5879461189728:1520875] |
Generators of the group modulo torsion |
j |
4869777375/92236816 |
j-invariant |
L |
5.0387066567764 |
L(r)(E,1)/r! |
Ω |
0.039141034261862 |
Real period |
R |
16.091509648285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472a2 32368v2 129472bu2 |
Quadratic twists by: -4 8 17 |