Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240fb |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1516402114560000 = 221 · 37 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66828,6380048] |
[a1,a2,a3,a4,a6] |
j |
172715635009/7935000 |
j-invariant |
L |
3.7735741753495 |
L(r)(E,1)/r! |
Ω |
0.47169677207751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240bi2 16560ce2 22080cb2 |
Quadratic twists by: -4 8 -3 |