Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382bg |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-36555372805320072 = -1 · 23 · 310 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3789,9197469] |
[a1,a2,a3,a4,a6] |
j |
4657463/28305288 |
j-invariant |
L |
2.304277894195 |
L(r)(E,1)/r! |
Ω |
0.28803473678644 |
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 |
13794bn2 3762n2 |
Quadratic twists by: -3 -11 |