Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bs |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
48363141728671875 = 32 · 57 · 77 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2065376,-1142597977] |
[a1,a2,a3,a4,a6] |
Generators |
[40758:2757623:8] |
Generators of the group modulo torsion |
j |
530044731605089/26309115 |
j-invariant |
L |
7.6347045171402 |
L(r)(E,1)/r! |
Ω |
0.1259363470203 |
Real period |
R |
7.5779398655353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495h3 8925d4 |
Quadratic twists by: 5 -7 |