Atkin-Lehner |
3+ 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
11067b |
Isogeny class |
Conductor |
11067 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-17298285417 = -1 · 32 · 76 · 17 · 312 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,595,3234] |
[a1,a2,a3,a4,a6] |
j |
23234516030375/17298285417 |
j-invariant |
L |
1.5725258374604 |
L(r)(E,1)/r! |
Ω |
0.78626291873018 |
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 |
33201h2 77469w2 |
Quadratic twists by: -3 -7 |