Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
120984g |
Isogeny class |
Conductor |
120984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-33867777024 = -1 · 210 · 38 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 0 2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3384,75168] |
[a1,a2,a3,a4,a6] |
Generators |
[36:36:1] |
Generators of the group modulo torsion |
j |
-830474788/6561 |
j-invariant |
L |
8.8430186205155 |
L(r)(E,1)/r! |
Ω |
1.1704400702341 |
Real period |
R |
0.47220586376868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120984f1 |
Quadratic twists by: -71 |