Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350bq |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
3.9115616585875E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3336263,-2145217219] |
[a1,a2,a3,a4,a6] |
Generators |
[-1085:14642:1] |
Generators of the group modulo torsion |
j |
262835807677978515625/25033994614960128 |
j-invariant |
L |
6.2121491107081 |
L(r)(E,1)/r! |
Ω |
0.11239091761327 |
Real period |
R |
0.76767634424408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974c4 |
Quadratic twists by: 5 |