Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474bs |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-20235093884928 = -1 · 214 · 36 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -3 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6430,84705] |
[a1,a2,a3,a4,a6] |
Generators |
[5:339:1] |
Generators of the group modulo torsion |
j |
309512375/212992 |
j-invariant |
L |
9.0103018031072 |
L(r)(E,1)/r! |
Ω |
0.43143861854353 |
Real period |
R |
0.24862284685623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386b1 84474v1 |
Quadratic twists by: -3 -19 |