Atkin-Lehner |
2- 3- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
18690q |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
16865114380800000 = 212 · 3 · 55 · 7 · 894 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1433600165,-20892608219775] |
[a1,a2,a3,a4,a6] |
j |
325842582437278014378261435690961/16865114380800000 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56070i4 93450e4 |
Quadratic twists by: -3 5 |