Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120u |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
11746522382400 = 26 · 32 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11210,-429792] |
[a1,a2,a3,a4,a6] |
Generators |
[186923:1179612:1331] |
Generators of the group modulo torsion |
j |
504358336/38025 |
j-invariant |
L |
8.9039639177086 |
L(r)(E,1)/r! |
Ω |
0.46618747180536 |
Real period |
R |
9.5497674804052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001876 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81120bg1 6240ba1 |
Quadratic twists by: -4 13 |