Atkin-Lehner |
3- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26505g |
Isogeny class |
Conductor |
26505 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2994932475 = 38 · 52 · 19 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- 2 -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-999,12118] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:164:1] |
Generators of the group modulo torsion |
j |
151334226289/4108275 |
j-invariant |
L |
7.0323118071065 |
L(r)(E,1)/r! |
Ω |
1.4205480088686 |
Real period |
R |
1.2376054457863 |
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 |
8835a2 |
Quadratic twists by: -3 |