Atkin-Lehner |
2- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840bb |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2146707891159040000 = 220 · 54 · 116 · 432 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-498787,115822434] |
[a1,a2,a3,a4,a6] |
j |
3350496292255693881/524098606240000 |
j-invariant |
L |
2.9931590385489 |
L(r)(E,1)/r! |
Ω |
0.24942991988073 |
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 |
4730b2 |
Quadratic twists by: -4 |