Atkin-Lehner |
2+ 3- 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
109746h |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5553152 |
Modular degree for the optimal curve |
Δ |
-2.5220437295088E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 5 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1884582,-2612893640] |
[a1,a2,a3,a4,a6] |
j |
-1015409985102752982625/3459593593290600948 |
j-invariant |
L |
1.8951214201689 |
L(r)(E,1)/r! |
Ω |
0.059222546196042 |
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 |
36582j1 |
Quadratic twists by: -3 |