Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010cp |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
deg |
3048192 |
Modular degree for the optimal curve |
Δ |
-3386617113083904000 = -1 · 221 · 33 · 53 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-65906,88774020] |
[a1,a2,a3,a4,a6] |
Generators |
[-380:7870:1] |
Generators of the group modulo torsion |
j |
-5491799407969/587464704000 |
j-invariant |
L |
9.9692363338492 |
L(r)(E,1)/r! |
Ω |
0.20601174428659 |
Real period |
R |
2.3043615465359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999586769 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
122010cm1 |
Quadratic twists by: -7 |