Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670n |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
37392111577125000 = 23 · 36 · 56 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-189301,-30384301] |
[a1,a2,a3,a4,a6] |
j |
31080575499121/1549125000 |
j-invariant |
L |
1.3775404953574 |
L(r)(E,1)/r! |
Ω |
0.22959008255957 |
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 |
69360db2 26010t2 43350bc2 510g2 |
Quadratic twists by: -4 -3 5 17 |