Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080dg |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1291204800 = -1 · 26 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 -4 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1728,27702] |
[a1,a2,a3,a4,a6] |
Generators |
[27:27:1] |
Generators of the group modulo torsion |
j |
-452984832/1025 |
j-invariant |
L |
6.5750296628625 |
L(r)(E,1)/r! |
Ω |
1.5319279839205 |
Real period |
R |
1.0729991466375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999772404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080f1 29520be1 118080dk1 |
Quadratic twists by: -4 8 -3 |