Atkin-Lehner |
3- 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
22311b |
Isogeny class |
Conductor |
22311 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
120839754487797 = 312 · 373 · 672 |
Discriminant |
Eigenvalues |
1 3- -2 4 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2431683,1460122956] |
[a1,a2,a3,a4,a6] |
j |
2181308843777272790833/165760980093 |
j-invariant |
L |
2.6900326654548 |
L(r)(E,1)/r! |
Ω |
0.44833877757582 |
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 |
7437a2 |
Quadratic twists by: -3 |