Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bq |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-301192881600 = -1 · 26 · 3 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1634,-6616] |
[a1,a2,a3,a4,a6] |
Generators |
[6475:60696:343] |
Generators of the group modulo torsion |
j |
1560896/975 |
j-invariant |
L |
8.7390610553467 |
L(r)(E,1)/r! |
Ω |
0.55908288832756 |
Real period |
R |
7.8155325779869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120bc1 6240q1 |
Quadratic twists by: -4 13 |