Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400dv |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4104000000000 = 212 · 33 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-607875,-182418750] |
[a1,a2,a3,a4,a6] |
Generators |
[26157:317078:27] |
Generators of the group modulo torsion |
j |
115003963647/19 |
j-invariant |
L |
5.9923291863879 |
L(r)(E,1)/r! |
Ω |
0.17098026597884 |
Real period |
R |
8.7617263203664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4275a2 68400dw2 68400dt2 |
Quadratic twists by: -4 -3 5 |