Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648f |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10090126838016 = 28 · 310 · 192 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88239,10087630] |
[a1,a2,a3,a4,a6] |
Generators |
[46214:275400:343] |
Generators of the group modulo torsion |
j |
407134543167952/54066609 |
j-invariant |
L |
8.800668554402 |
L(r)(E,1)/r! |
Ω |
0.6980843984096 |
Real period |
R |
6.3034416594947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964153 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58824h2 39216g2 |
Quadratic twists by: -4 -3 |