Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800t |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8281000000000 = 29 · 59 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -2 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65875,6506250] |
[a1,a2,a3,a4,a6] |
j |
31614447528/8281 |
j-invariant |
L |
1.4375776902294 |
L(r)(E,1)/r! |
Ω |
0.71878884046731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800bc2 72800cd2 |
Quadratic twists by: -4 5 |