Atkin-Lehner |
5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69575w |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
92617347483203125 = 58 · 117 · 233 |
Discriminant |
Eigenvalues |
0 1 5- 1 11- -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3398083,2409833619] |
[a1,a2,a3,a4,a6] |
Generators |
[28569:6823:27] |
Generators of the group modulo torsion |
j |
6270607851520/133837 |
j-invariant |
L |
5.3725812947501 |
L(r)(E,1)/r! |
Ω |
0.31258197156605 |
Real period |
R |
4.2969379100414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69575j2 6325f2 |
Quadratic twists by: 5 -11 |