Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
16400t |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-33587200 = -1 · 215 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 -6 -1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,290] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] |
Generators of the group modulo torsion |
j |
-46305/328 |
j-invariant |
L |
2.9867957785256 |
L(r)(E,1)/r! |
Ω |
1.7813209160105 |
Real period |
R |
0.41918271880158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2050b1 65600by1 16400w1 |
Quadratic twists by: -4 8 5 |