Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400u |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
318500000000 = 28 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8375,293750] |
[a1,a2,a3,a4,a6] |
Generators |
[49:32:1] |
Generators of the group modulo torsion |
j |
129929616/637 |
j-invariant |
L |
5.3348445554716 |
L(r)(E,1)/r! |
Ω |
0.97106112688695 |
Real period |
R |
2.7469148994633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18200k2 36400x2 |
Quadratic twists by: -4 5 |