Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054bj |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-506268 = -1 · 22 · 32 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[36:198:1] |
Generators of the group modulo torsion |
j |
-166375/1476 |
j-invariant |
L |
8.2008509861338 |
L(r)(E,1)/r! |
Ω |
1.242664416076 |
Real period |
R |
3.2997046024823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96432bj1 36162m1 12054x1 |
Quadratic twists by: -4 -3 -7 |