Atkin-Lehner |
3- 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
68475j |
Isogeny class |
Conductor |
68475 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1716227399390625 = 32 · 56 · 116 · 832 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-920613,339905592] |
[a1,a2,a3,a4,a6] |
j |
5522491110307729033/109838553561 |
j-invariant |
L |
2.6099733242219 |
L(r)(E,1)/r! |
Ω |
0.43499555368264 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2739d2 |
Quadratic twists by: 5 |