Atkin-Lehner |
2- 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384cr |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
325593442347264 = 28 · 312 · 72 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30351,-1840750] |
[a1,a2,a3,a4,a6] |
j |
16568196345808/1744649361 |
j-invariant |
L |
2.9133582865996 |
L(r)(E,1)/r! |
Ω |
0.36416980690994 |
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 |
37128e2 |
Quadratic twists by: -3 |