Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520co |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
588592777500000000 = 28 · 37 · 510 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250743,31193458] |
[a1,a2,a3,a4,a6] |
Generators |
[86:3204:1] |
Generators of the group modulo torsion |
j |
9342060412991056/3153896484375 |
j-invariant |
L |
5.1182333599267 |
L(r)(E,1)/r! |
Ω |
0.26717301464678 |
Real period |
R |
4.789249923711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16380e2 21840cd2 |
Quadratic twists by: -4 -3 |