Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dt |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8954682347520 = 212 · 37 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81147,8896106] |
[a1,a2,a3,a4,a6] |
Generators |
[175:234:1] |
Generators of the group modulo torsion |
j |
19790357598649/2998905 |
j-invariant |
L |
6.538183385204 |
L(r)(E,1)/r! |
Ω |
0.70691963525193 |
Real period |
R |
2.3122088633507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999685 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4095n3 21840bc4 |
Quadratic twists by: -4 -3 |