Atkin-Lehner |
3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
21417d |
Isogeny class |
Conductor |
21417 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
-69969339 = -1 · 34 · 114 · 59 |
Discriminant |
Eigenvalues |
0 3+ 3 0 11- -2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,81,263] |
[a1,a2,a3,a4,a6] |
Generators |
[9:40:1] |
Generators of the group modulo torsion |
j |
3964928/4779 |
j-invariant |
L |
4.402075338849 |
L(r)(E,1)/r! |
Ω |
1.303856659981 |
Real period |
R |
1.6880978845148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64251n1 21417c1 |
Quadratic twists by: -3 -11 |