Atkin-Lehner |
2- 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36822o |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2553600 |
Modular degree for the optimal curve |
Δ |
4.9871259986189E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4447347,1217726001] |
[a1,a2,a3,a4,a6] |
j |
30147017857867/15454961664 |
j-invariant |
L |
4.8187620627744 |
L(r)(E,1)/r! |
Ω |
0.12046905156889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110466n1 36822j1 |
Quadratic twists by: -3 -19 |