Atkin-Lehner |
2- 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
67450k |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
766232000000 = 29 · 56 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1297030,-568231403] |
[a1,a2,a3,a4,a6] |
j |
15443773948047428073/49038848 |
j-invariant |
L |
5.0928932897706 |
L(r)(E,1)/r! |
Ω |
0.14146925796986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2698a2 |
Quadratic twists by: 5 |