Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216bf |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
173162853617393664 = 213 · 35 · 196 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-139784,1903476] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:2280:1] [-20:2166:1] |
Generators of the group modulo torsion |
j |
73746134776499977/42276087308934 |
j-invariant |
L |
9.0228167503571 |
L(r)(E,1)/r! |
Ω |
0.27486886626363 |
Real period |
R |
0.54709826258891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902a2 117648bw2 |
Quadratic twists by: -4 -3 |