Atkin-Lehner |
2- 3- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386x |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
23380861061376 = 28 · 38 · 72 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-230257,-42545815] |
[a1,a2,a3,a4,a6] |
j |
1350088866691276036753/23380861061376 |
j-invariant |
L |
6.9742380016663 |
L(r)(E,1)/r! |
Ω |
0.21794493755207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67158t2 |
Quadratic twists by: -3 |