Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126db |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-398432034 = -1 · 2 · 37 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 13- -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,180,202] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-64:1] |
Generators of the group modulo torsion |
j |
17999471/11154 |
j-invariant |
L |
3.1597946861758 |
L(r)(E,1)/r! |
Ω |
1.0425112008065 |
Real period |
R |
0.37886820782313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996325551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042cf1 126126bk1 |
Quadratic twists by: -3 -7 |