Atkin-Lehner |
2- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600z |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.3430078515625E+21 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11+ 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21884908,-39511620312] |
[a1,a2,a3,a4,a6] |
Generators |
[214981403:67171102042:2197] |
Generators of the group modulo torsion |
j |
-289799689905740628304/835751962890625 |
j-invariant |
L |
3.6078056730347 |
L(r)(E,1)/r! |
Ω |
0.034894611323453 |
Real period |
R |
12.923935922672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997414162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31900c2 25520l2 |
Quadratic twists by: -4 5 |