Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5082ba |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
2080 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-1.9583782965237E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-202738,-6733074556] |
[a1,a2,a3,a4,a6] |
Generators |
[7556:-654274:1] |
Generators of the group modulo torsion |
j |
-520203426765625/11054534935707648 |
j-invariant |
L |
6.5011714647795 |
L(r)(E,1)/r! |
Ω |
0.055563803069852 |
Real period |
R |
0.22500714720996 |
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 |
40656bf1 15246p1 127050m1 35574bz1 |
Quadratic twists by: -4 -3 5 -7 |