Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744ca |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
3.1904545313443E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4300275,3323032306] |
[a1,a2,a3,a4,a6] |
Generators |
[1439:10710:1] |
Generators of the group modulo torsion |
j |
2945268712058640625/106847676723797 |
j-invariant |
L |
9.489081656082 |
L(r)(E,1)/r! |
Ω |
0.17051861285719 |
Real period |
R |
2.7824181633645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999409536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8109l2 14416d2 |
Quadratic twists by: -4 -3 |