Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550di |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.118410787207E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20603480,-35793972853] |
[a1,a2,a3,a4,a6] |
Generators |
[-2705:13201:1] |
Generators of the group modulo torsion |
j |
84917632843343402929/537144431250000 |
j-invariant |
L |
9.1106226251139 |
L(r)(E,1)/r! |
Ω |
0.070889171773502 |
Real period |
R |
4.0162263137117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850r4 10710n3 |
Quadratic twists by: -3 5 |