Atkin-Lehner |
2+ 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168h |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-5.4793024238529E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 5 -5 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,949333,-9518214] |
[a1,a2,a3,a4,a6] |
j |
5913696134505005053952/3424564014908085891 |
j-invariant |
L |
2.1309441666715 |
L(r)(E,1)/r! |
Ω |
0.11838578769665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584bf1 |
Quadratic twists by: -4 |