Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120q |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-32448000 = -1 · 29 · 3 · 53 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,300] |
[a1,a2,a3,a4,a6] |
j |
-228488/375 |
j-invariant |
L |
1.8619016273124 |
L(r)(E,1)/r! |
Ω |
1.8619016287515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81120c1 81120ca1 |
Quadratic twists by: -4 13 |