Atkin-Lehner |
2- 3- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598z |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2283378174 = 2 · 36 · 7 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-761,7931] |
[a1,a2,a3,a4,a6] |
j |
66775173193/3132206 |
j-invariant |
L |
2.8821533125283 |
L(r)(E,1)/r! |
Ω |
1.4410766581404 |
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 |
6622g2 |
Quadratic twists by: -3 |