Atkin-Lehner |
2- 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420s |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-122880240 = -1 · 24 · 36 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-170,1065] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:43:1] [2:27:1] |
Generators of the group modulo torsion |
j |
-697118464/156735 |
j-invariant |
L |
10.188161623392 |
L(r)(E,1)/r! |
Ω |
1.7765243148817 |
Real period |
R |
0.95581407049497 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126420bb1 |
Quadratic twists by: -7 |