Atkin-Lehner |
3+ 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109275d |
Isogeny class |
Conductor |
109275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
44508672 |
Modular degree for the optimal curve |
Δ |
-5.4864532918739E+24 |
Discriminant |
Eigenvalues |
1 3+ 5+ -5 2 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-310197500,2105725078125] |
[a1,a2,a3,a4,a6] |
j |
-211260628917111905292657601/351133010679931640625 |
j-invariant |
L |
1.8285763570983 |
L(r)(E,1)/r! |
Ω |
0.076190638508159 |
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 |
21855c1 |
Quadratic twists by: 5 |