Atkin-Lehner |
3+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47481j |
Isogeny class |
Conductor |
47481 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
52326863379 = 34 · 76 · 172 · 19 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5121,138510] |
[a1,a2,a3,a4,a6] |
j |
126279339913/444771 |
j-invariant |
L |
2.2556300142856 |
L(r)(E,1)/r! |
Ω |
1.1278150074005 |
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 |
969a2 |
Quadratic twists by: -7 |