Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fl |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4978767137501380608 = 215 · 36 · 76 · 116 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-618915,153616034] |
[a1,a2,a3,a4,a6] |
Generators |
[223:5166:1] |
Generators of the group modulo torsion |
j |
4956477625/941192 |
j-invariant |
L |
8.5210075930098 |
L(r)(E,1)/r! |
Ω |
0.23073840799374 |
Real period |
R |
3.0774415584253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246i4 13552ba4 1008i4 |
Quadratic twists by: -4 -3 -11 |