Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21904k |
Isogeny class |
Conductor |
21904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
-7.8783846357694E+19 |
Discriminant |
Eigenvalues |
2- -2 1 0 -2 6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-624720,467221396] |
[a1,a2,a3,a4,a6] |
j |
-1369/4 |
j-invariant |
L |
1.3591250534011 |
L(r)(E,1)/r! |
Ω |
0.16989063167513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2738c1 87616bj1 21904l1 |
Quadratic twists by: -4 8 37 |