Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472ce |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2906279620608 = -1 · 212 · 3 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20489,1138665] |
[a1,a2,a3,a4,a6] |
Generators |
[87:84:1] |
Generators of the group modulo torsion |
j |
-232245467895232/709540923 |
j-invariant |
L |
3.4540777249885 |
L(r)(E,1)/r! |
Ω |
0.80648200211883 |
Real period |
R |
2.141447494125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17472cn2 8736z1 52416fx2 122304id2 |
Quadratic twists by: -4 8 -3 -7 |