Atkin-Lehner |
2- 3- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
18690q |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
3840 |
Product of Tamagawa factors cp |
Δ |
-6.761253515625E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-87777445,-340368616063] |
[a1,a2,a3,a4,a6] |
j |
-74794991742492447579688316881/6761253515625000000000000 |
j-invariant |
L |
5.8884878841956 |
L(r)(E,1)/r! |
Ω |
0.024535366184148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56070i3 93450e3 |
Quadratic twists by: -3 5 |