Atkin-Lehner |
2- 3+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576s |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-953972220963926016 = -1 · 212 · 34 · 19 · 736 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1656,46991664] |
[a1,a2,a3,a4,a6] |
Generators |
[170:7222:1] |
Generators of the group modulo torsion |
j |
122541299063/232903374258771 |
j-invariant |
L |
5.0421113941283 |
L(r)(E,1)/r! |
Ω |
0.22115069865733 |
Real period |
R |
5.6998592192897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161d2 |
Quadratic twists by: -4 |