Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ga |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.3516083145839E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1006571838,12291247427031] |
[a1,a2,a3,a4,a6] |
j |
4074571110566294433649/48828650062500 |
j-invariant |
L |
5.6022072235808 |
L(r)(E,1)/r! |
Ω |
0.07780842403444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25410w6 11550c6 |
Quadratic twists by: 5 -11 |