Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fk |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-354490296052200 = -1 · 23 · 3 · 52 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,542,906071] |
[a1,a2,a3,a4,a6] |
Generators |
[902:11981:8] |
Generators of the group modulo torsion |
j |
48101735/968486568 |
j-invariant |
L |
8.515989985501 |
L(r)(E,1)/r! |
Ω |
0.42510639268846 |
Real period |
R |
6.6775361387506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050em2 127050bc2 |
Quadratic twists by: 5 -11 |