Atkin-Lehner |
3- 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21045f |
Isogeny class |
Conductor |
21045 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-21407571151875 = -1 · 38 · 54 · 23 · 613 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 -1 3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6441,-300724] |
[a1,a2,a3,a4,a6] |
Generators |
[102:337:1] |
Generators of the group modulo torsion |
j |
-29556365902741504/21407571151875 |
j-invariant |
L |
5.6341808036533 |
L(r)(E,1)/r! |
Ω |
0.25825566599484 |
Real period |
R |
1.3635181976428 |
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 |
63135j1 105225a1 |
Quadratic twists by: -3 5 |