Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054bp |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
1452 |
Product of Tamagawa factors cp |
deg |
418176 |
Modular degree for the optimal curve |
Δ |
-2.0592145797274E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -1 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,241520,213514496] |
[a1,a2,a3,a4,a6] |
Generators |
[2048:-97456:1] |
Generators of the group modulo torsion |
j |
13243252505373071/175030351276032 |
j-invariant |
L |
6.3803952550254 |
L(r)(E,1)/r! |
Ω |
0.15973174185017 |
Real period |
R |
0.027509946096161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96432cb1 36162w1 1722i1 |
Quadratic twists by: -4 -3 -7 |