Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688cs |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-540647670657024 = -1 · 212 · 310 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15419,-836557] |
[a1,a2,a3,a4,a6] |
j |
841232384/1121931 |
j-invariant |
L |
2.7709973590631 |
L(r)(E,1)/r! |
Ω |
0.27709973590666 |
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 |
2793f1 912f1 |
Quadratic twists by: -4 -7 |