Atkin-Lehner |
5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39325t |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1520359186328125 = 58 · 116 · 133 |
Discriminant |
Eigenvalues |
0 1 5- 4 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-161333,24817744] |
[a1,a2,a3,a4,a6] |
Generators |
[20748:508852:27] |
Generators of the group modulo torsion |
j |
671088640/2197 |
j-invariant |
L |
6.116339443168 |
L(r)(E,1)/r! |
Ω |
0.47882691312025 |
Real period |
R |
6.386795808233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39325i2 325a2 |
Quadratic twists by: 5 -11 |