Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3380g |
Isogeny class |
Conductor |
3380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
1690000 = 24 · 54 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- -5 5 13+ -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
1141504/625 |
j-invariant |
L |
2.7306077175548 |
L(r)(E,1)/r! |
Ω |
2.3129392870742 |
Real period |
R |
0.098381589348771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13520x1 54080j1 30420n1 16900d1 |
Quadratic twists by: -4 8 -3 5 |