Atkin-Lehner |
2- 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
84816k |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6880898997103362048 = -1 · 220 · 39 · 192 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,425493,-67198950] |
[a1,a2,a3,a4,a6] |
Generators |
[181:3968:1] |
Generators of the group modulo torsion |
j |
105669519042933/85348116736 |
j-invariant |
L |
2.590876904895 |
L(r)(E,1)/r! |
Ω |
0.1311741378549 |
Real period |
R |
1.2344644216241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10602f2 84816j2 |
Quadratic twists by: -4 -3 |