Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680fl |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-1644137244819763200 = -1 · 212 · 39 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-738192,251793776] |
[a1,a2,a3,a4,a6] |
j |
-18264064/675 |
j-invariant |
L |
2.117446230147 |
L(r)(E,1)/r! |
Ω |
0.26468070935619 |
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 |
7605t1 40560bm1 121680ec1 |
Quadratic twists by: -4 -3 13 |