Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
858h |
Isogeny class |
Conductor |
858 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
59629284 = 22 · 36 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2574,49191] |
[a1,a2,a3,a4,a6] |
j |
1886079023633377/59629284 |
j-invariant |
L |
1.8422546597096 |
L(r)(E,1)/r! |
Ω |
1.8422546597096 |
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 |
6864w2 27456y2 2574j2 21450bb2 |
Quadratic twists by: -4 8 -3 5 |