Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320ca |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
27144374400000000 = 213 · 33 · 58 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85896,-5601420] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1014:1] |
Generators of the group modulo torsion |
j |
17111482619973769/6627044531250 |
j-invariant |
L |
5.5960486623072 |
L(r)(E,1)/r! |
Ω |
0.28819732075269 |
Real period |
R |
1.6181184034177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290a4 102960eh3 |
Quadratic twists by: -4 -3 |