Atkin-Lehner |
3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26505c |
Isogeny class |
Conductor |
26505 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1663921589528025 = 312 · 52 · 194 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36990,1918831] |
[a1,a2,a3,a4,a6] |
Generators |
[-42910:-712333:343] |
Generators of the group modulo torsion |
j |
7678135675139041/2282471316225 |
j-invariant |
L |
7.3809242276799 |
L(r)(E,1)/r! |
Ω |
0.43936762405482 |
Real period |
R |
8.3994857877364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8835e2 |
Quadratic twists by: -3 |