Atkin-Lehner |
3- 11- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89199h |
Isogeny class |
Conductor |
89199 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2492818559972380233 = -1 · 312 · 112 · 173 · 534 |
Discriminant |
Eigenvalues |
1 3- 0 0 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,79398,-75493431] |
[a1,a2,a3,a4,a6] |
j |
75931467893921375/3419504197492977 |
j-invariant |
L |
1.480716177181 |
L(r)(E,1)/r! |
Ω |
0.12339301194082 |
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 |
29733a2 |
Quadratic twists by: -3 |