Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084d |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2386800 |
Modular degree for the optimal curve |
Δ |
-2.9102629577103E+21 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 -1 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1475538,-2502647991] |
[a1,a2,a3,a4,a6] |
j |
11014515968/90224199 |
j-invariant |
L |
0.21257621796916 |
L(r)(E,1)/r! |
Ω |
0.070858739355853 |
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 |
45084n1 |
Quadratic twists by: 17 |