Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054be |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-7293296808 = -1 · 23 · 33 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1373,-20581] |
[a1,a2,a3,a4,a6] |
j |
-2433138625/61992 |
j-invariant |
L |
2.349351938258 |
L(r)(E,1)/r! |
Ω |
0.39155865637634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96432ct1 36162n1 1722q1 |
Quadratic twists by: -4 -3 -7 |