Atkin-Lehner |
3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21801j |
Isogeny class |
Conductor |
21801 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
44064 |
Modular degree for the optimal curve |
Δ |
-2815384693563 = -1 · 318 · 132 · 43 |
Discriminant |
Eigenvalues |
-2 3- -2 0 1 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2864,99038] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1093:1] |
Generators of the group modulo torsion |
j |
-15378276978688/16659081027 |
j-invariant |
L |
2.4187558430314 |
L(r)(E,1)/r! |
Ω |
0.73164507541102 |
Real period |
R |
0.1836618999142 |
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 |
65403n1 21801i1 |
Quadratic twists by: -3 13 |