Atkin-Lehner |
2- 3- 5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270bo |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
2679542129531250000 = 24 · 312 · 510 · 232 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24766772,47446949319] |
[a1,a2,a3,a4,a6] |
Generators |
[3027:-15889:1] |
Generators of the group modulo torsion |
j |
2304646847288638500985849/3675640781250000 |
j-invariant |
L |
9.3443660403421 |
L(r)(E,1)/r! |
Ω |
0.21818054769118 |
Real period |
R |
0.53535741956846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42090a2 |
Quadratic twists by: -3 |