Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520ds |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
379151267040000 = 28 · 312 · 54 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-212007,37561106] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:6750:1] |
Generators of the group modulo torsion |
j |
5646857395652944/2031631875 |
j-invariant |
L |
6.9626783590677 |
L(r)(E,1)/r! |
Ω |
0.52541482526809 |
Real period |
R |
3.3129434229712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16380i2 21840bb2 |
Quadratic twists by: -4 -3 |