Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bx |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-1.861707894144E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1222160,-401038400] |
[a1,a2,a3,a4,a6] |
Generators |
[312:3248:1] |
Generators of the group modulo torsion |
j |
49288727461474020239/45451852884375000 |
j-invariant |
L |
5.7368135977442 |
L(r)(E,1)/r! |
Ω |
0.098391559493572 |
Real period |
R |
1.8220610167343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6090ba6 |
Quadratic twists by: -4 |