Atkin-Lehner |
3- 7- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21063d |
Isogeny class |
Conductor |
21063 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
26097057 = 32 · 72 · 17 · 592 |
Discriminant |
Eigenvalues |
1 3- -2 7- -2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-137,551] |
[a1,a2,a3,a4,a6] |
Generators |
[21:73:1] |
Generators of the group modulo torsion |
j |
281397674377/26097057 |
j-invariant |
L |
6.5129608422771 |
L(r)(E,1)/r! |
Ω |
2.0599514998727 |
Real period |
R |
1.5808529576253 |
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 |
63189j1 |
Quadratic twists by: -3 |