Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752bi |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14357258573119488 = 216 · 33 · 136 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6883179,-6950748262] |
[a1,a2,a3,a4,a6] |
Generators |
[3162939459743:-1759669339725550:10218313] |
Generators of the group modulo torsion |
j |
326112308793613344339/129821854864 |
j-invariant |
L |
7.7763550704916 |
L(r)(E,1)/r! |
Ω |
0.093207808961648 |
Real period |
R |
20.857573947479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9594n2 76752bb2 |
Quadratic twists by: -4 -3 |