Atkin-Lehner |
2+ 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109554f |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17186400 |
Modular degree for the optimal curve |
Δ |
-6.9750813099854E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -6 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1404521,12722255877] |
[a1,a2,a3,a4,a6] |
j |
-373845337/85100544 |
j-invariant |
L |
0.089380267703761 |
L(r)(E,1)/r! |
Ω |
0.089379609058887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109554h1 |
Quadratic twists by: -31 |