Atkin-Lehner |
2- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21328h |
Isogeny class |
Conductor |
21328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
2795503616 = 221 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 0 -1 2 -5 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3323,-73686] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:6:1] |
Generators of the group modulo torsion |
j |
990728800209/682496 |
j-invariant |
L |
4.3977214348835 |
L(r)(E,1)/r! |
Ω |
0.62883242555103 |
Real period |
R |
1.7483677909222 |
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 |
2666d1 85312l1 |
Quadratic twists by: -4 8 |