Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054bk |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-3.8372477306217E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -5 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3540153,2731230585] |
[a1,a2,a3,a4,a6] |
Generators |
[-486:66099:1] |
Generators of the group modulo torsion |
j |
-121592686950598375/9509057593344 |
j-invariant |
L |
7.9791741257842 |
L(r)(E,1)/r! |
Ω |
0.16587359235798 |
Real period |
R |
0.24294921601601 |
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 |
96432bl1 36162o1 12054y1 |
Quadratic twists by: -4 -3 -7 |