Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800bb |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
3018732502500000000 = 28 · 310 · 510 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-372908,-26481312] |
[a1,a2,a3,a4,a6] |
Generators |
[-332:7800:1] |
Generators of the group modulo torsion |
j |
1433738629147984/754683125625 |
j-invariant |
L |
8.0751831488284 |
L(r)(E,1)/r! |
Ω |
0.20490618176638 |
Real period |
R |
1.9704586465656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961641 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17160r2 |
Quadratic twists by: 5 |