Atkin-Lehner |
2- 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
84816j |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9438818926067712 = -1 · 220 · 33 · 192 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,47277,2488850] |
[a1,a2,a3,a4,a6] |
Generators |
[25:1920:1] |
Generators of the group modulo torsion |
j |
105669519042933/85348116736 |
j-invariant |
L |
9.4545465397009 |
L(r)(E,1)/r! |
Ω |
0.26415229569508 |
Real period |
R |
2.2370017915492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10602a2 84816k2 |
Quadratic twists by: -4 -3 |