Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49504t |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
144158026568192 = 29 · 78 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-521771,145065646] |
[a1,a2,a3,a4,a6] |
Generators |
[-807:6370:1] |
Generators of the group modulo torsion |
j |
30682699258160954376/281558645641 |
j-invariant |
L |
4.6464770694361 |
L(r)(E,1)/r! |
Ω |
0.52321114104171 |
Real period |
R |
2.220173035768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49504l4 99008cs4 |
Quadratic twists by: -4 8 |