Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400dq |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
2090482222500000000 = 28 · 310 · 510 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24097508,-45538888512] |
[a1,a2,a3,a4,a6] |
j |
386883437712133521616/522620555625 |
j-invariant |
L |
2.7256277735708 |
L(r)(E,1)/r! |
Ω |
0.068140694413384 |
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 |
14280k2 |
Quadratic twists by: 5 |