Atkin-Lehner |
2- 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88920bc |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
249774750576000000 = 210 · 39 · 56 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11382123,14780272822] |
[a1,a2,a3,a4,a6] |
j |
218457042875044843684/334596234375 |
j-invariant |
L |
2.1241454678201 |
L(r)(E,1)/r! |
Ω |
0.26551817361608 |
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 |
29640i2 |
Quadratic twists by: -3 |