Atkin-Lehner |
2- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
21008h |
Isogeny class |
Conductor |
21008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-33948928 = -1 · 28 · 13 · 1012 |
Discriminant |
Eigenvalues |
2- -2 -2 0 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,36,280] |
[a1,a2,a3,a4,a6] |
Generators |
[10:145:8] |
Generators of the group modulo torsion |
j |
19600688/132613 |
j-invariant |
L |
2.8268175197587 |
L(r)(E,1)/r! |
Ω |
1.5038395040278 |
Real period |
R |
3.7594670337991 |
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 |
5252a2 84032s2 |
Quadratic twists by: -4 8 |