Atkin-Lehner |
2+ 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56650j |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1584000 |
Modular degree for the optimal curve |
Δ |
-2.0871521358617E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 11- 6 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,665549,68160298] |
[a1,a2,a3,a4,a6] |
Generators |
[-1221:166972:27] |
Generators of the group modulo torsion |
j |
16693012432534411/10686218935612 |
j-invariant |
L |
6.1850641928922 |
L(r)(E,1)/r! |
Ω |
0.13429944299113 |
Real period |
R |
1.1513570077447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56650be1 |
Quadratic twists by: 5 |