Atkin-Lehner |
5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21775a |
Isogeny class |
Conductor |
21775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-567080295026171875 = -1 · 58 · 136 · 673 |
Discriminant |
Eigenvalues |
0 2 5+ 4 0 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-60133,36692918] |
[a1,a2,a3,a4,a6] |
Generators |
[6072:472762:1] |
Generators of the group modulo torsion |
j |
-1539038632738816/36293138881675 |
j-invariant |
L |
6.9665737001391 |
L(r)(E,1)/r! |
Ω |
0.2441667618805 |
Real period |
R |
7.13300783293 |
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 |
4355c2 |
Quadratic twists by: 5 |