Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648g |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
26907004901376 = 211 · 39 · 192 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12819,-499790] |
[a1,a2,a3,a4,a6] |
Generators |
[-414:1265:8] |
Generators of the group modulo torsion |
j |
156037388834/18022203 |
j-invariant |
L |
10.415726755161 |
L(r)(E,1)/r! |
Ω |
0.4520573824178 |
Real period |
R |
5.7601795181393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58824e2 39216h2 |
Quadratic twists by: -4 -3 |