Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384dw |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26580417380352 = 217 · 36 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30636,2048976] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:1936:1] |
Generators of the group modulo torsion |
j |
33279932754/278179 |
j-invariant |
L |
6.6921254698014 |
L(r)(E,1)/r! |
Ω |
0.67149780165509 |
Real period |
R |
1.2457459825171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999407573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384u4 30096c4 13376n3 |
Quadratic twists by: -4 8 -3 |