Atkin-Lehner |
2- 7+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
120848d |
Isogeny class |
Conductor |
120848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7755264 |
Modular degree for the optimal curve |
Δ |
-3.7137091368919E+20 |
Discriminant |
Eigenvalues |
2- -3 2 7+ -5 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1449821,-638884958] |
[a1,a2,a3,a4,a6] |
Generators |
[546:17762:1] |
Generators of the group modulo torsion |
j |
82282394615560595847/90666726974899712 |
j-invariant |
L |
1.868304282948 |
L(r)(E,1)/r! |
Ω |
0.091579820483233 |
Real period |
R |
5.1002071828637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000267688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15106b1 |
Quadratic twists by: -4 |