Atkin-Lehner |
3- 5- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
69165r |
Isogeny class |
Conductor |
69165 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-339718150005437025 = -1 · 36 · 52 · 292 · 536 |
Discriminant |
Eigenvalues |
1 3- 5- -2 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99204,30537485] |
[a1,a2,a3,a4,a6] |
Generators |
[15758:683771:8] |
Generators of the group modulo torsion |
j |
-148110619118331969/466005692737225 |
j-invariant |
L |
6.8989019140238 |
L(r)(E,1)/r! |
Ω |
0.26689763547596 |
Real period |
R |
2.1540411617686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7685a2 |
Quadratic twists by: -3 |