Atkin-Lehner |
2+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
52640f |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1385484800 = 29 · 52 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-376,2040] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:70:1] [-10:70:1] |
Generators of the group modulo torsion |
j |
11512557512/2706025 |
j-invariant |
L |
6.7732064507204 |
L(r)(E,1)/r! |
Ω |
1.4292849624535 |
Real period |
R |
1.184719392677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52640c2 105280bi2 |
Quadratic twists by: -4 8 |