Atkin-Lehner |
3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075cf |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
-2.9989954606849E+20 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 11- -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6314555,-6162474428] |
[a1,a2,a3,a4,a6] |
j |
-97783220255527305/1053145182353 |
j-invariant |
L |
1.1421321747698 |
L(r)(E,1)/r! |
Ω |
0.047588840608774 |
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 |
4675q1 42075bj1 |
Quadratic twists by: -3 5 |