Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12012d |
Isogeny class |
Conductor |
12012 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1110144 |
Modular degree for the optimal curve |
Δ |
-5.8721720440538E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7104603,9101976408] |
[a1,a2,a3,a4,a6] |
Generators |
[48666:4214067:8] |
Generators of the group modulo torsion |
j |
2478695127147994831388672/3670107527533613193027 |
j-invariant |
L |
6.0732357608075 |
L(r)(E,1)/r! |
Ω |
0.075472591429723 |
Real period |
R |
5.7478158113509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048bt1 36036h1 84084j1 |
Quadratic twists by: -4 -3 -7 |