Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600by |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
72666906624000 = 219 · 38 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 6 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56368,-5115968] |
[a1,a2,a3,a4,a6] |
j |
38686490446661/141927552 |
j-invariant |
L |
2.479285626683 |
L(r)(E,1)/r! |
Ω |
0.30991070333538 |
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 |
1950bb2 62400hw2 46800fo2 15600cr2 |
Quadratic twists by: -4 8 -3 5 |