Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
858h |
Isogeny class |
Conductor |
858 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
7722 = 2 · 33 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-41184,3199767] |
[a1,a2,a3,a4,a6] |
j |
7725203825376001537/7722 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6864w3 27456y4 2574j3 21450bb4 |
Quadratic twists by: -4 8 -3 5 |