Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12054x |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-59561923932 = -1 · 22 · 32 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-393,11955] |
[a1,a2,a3,a4,a6] |
Generators |
[3:102:1] |
Generators of the group modulo torsion |
j |
-166375/1476 |
j-invariant |
L |
6.1300484709521 |
L(r)(E,1)/r! |
Ω |
0.94998981877262 |
Real period |
R |
3.2263758778342 |
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 |
96432ch1 36162y1 12054bj1 |
Quadratic twists by: -4 -3 -7 |