Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080fy |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-686199170116800 = -1 · 26 · 321 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 1 -2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21342,-1740274] |
[a1,a2,a3,a4,a6] |
Generators |
[3172081:78243145:4913] |
Generators of the group modulo torsion |
j |
-23042073442816/14707629675 |
j-invariant |
L |
8.8027057713972 |
L(r)(E,1)/r! |
Ω |
0.19196860884809 |
Real period |
R |
11.463730735343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080gd1 59040bo1 39360bn1 |
Quadratic twists by: -4 8 -3 |