Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054q |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1512000 |
Modular degree for the optimal curve |
Δ |
-7.7792006348012E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -5 -2 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51336346,-141585300916] |
[a1,a2,a3,a4,a6] |
j |
-370779914507467657375/19277584367616 |
j-invariant |
L |
0.84602504879172 |
L(r)(E,1)/r! |
Ω |
0.028200834959724 |
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 |
96432bm1 36162cd1 12054c1 |
Quadratic twists by: -4 -3 -7 |