Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054bn |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-548922690957312 = -1 · 212 · 34 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4948,-1118832] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2406:1] |
Generators of the group modulo torsion |
j |
113872553423/4665765888 |
j-invariant |
L |
8.9019106030843 |
L(r)(E,1)/r! |
Ω |
0.24926884496124 |
Real period |
R |
2.9760072250734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96432br1 36162s1 1722m1 |
Quadratic twists by: -4 -3 -7 |