Atkin-Lehner |
2- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47120o |
Isogeny class |
Conductor |
47120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
568395366400 = 216 · 52 · 192 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2347,-24486] |
[a1,a2,a3,a4,a6] |
j |
349062369921/138768400 |
j-invariant |
L |
1.4196337413338 |
L(r)(E,1)/r! |
Ω |
0.70981687073319 |
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 |
5890h2 |
Quadratic twists by: -4 |