Atkin-Lehner |
2- 3- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8142h |
Isogeny class |
Conductor |
8142 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-20224728 = -1 · 23 · 34 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 3 -1 -5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-84,360] |
[a1,a2,a3,a4,a6] |
Generators |
[18:60:1] |
Generators of the group modulo torsion |
j |
-65597103937/20224728 |
j-invariant |
L |
7.075497620731 |
L(r)(E,1)/r! |
Ω |
2.0453693609654 |
Real period |
R |
0.14413650976205 |
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 |
65136q1 24426h1 |
Quadratic twists by: -4 -3 |