Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560t |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
770912092160 = 216 · 5 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1003791788,12240906233008] |
[a1,a2,a3,a4,a6] |
Generators |
[18328:8436:1] |
Generators of the group modulo torsion |
j |
1706768805632178182685889284/11763185 |
j-invariant |
L |
4.5727483333136 |
L(r)(E,1)/r! |
Ω |
0.1981757596932 |
Real period |
R |
2.5638006834596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560bw4 5320e4 |
Quadratic twists by: -4 8 |