Atkin-Lehner |
3- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26505h |
Isogeny class |
Conductor |
26505 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
633862966725 = 316 · 52 · 19 · 31 |
Discriminant |
Eigenvalues |
1 3- 5- -4 2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28044,-1800225] |
[a1,a2,a3,a4,a6] |
Generators |
[1550:75:8] |
Generators of the group modulo torsion |
j |
3345991012387009/869496525 |
j-invariant |
L |
5.2069484062277 |
L(r)(E,1)/r! |
Ω |
0.36893139301452 |
Real period |
R |
7.0567976930371 |
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 |
8835g2 |
Quadratic twists by: -3 |