Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320z |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
322788089622942720 = 210 · 322 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1948323,1046384782] |
[a1,a2,a3,a4,a6] |
Generators |
[819:248:1] |
Generators of the group modulo torsion |
j |
1095668306653092484/432404312445 |
j-invariant |
L |
5.3553992827533 |
L(r)(E,1)/r! |
Ω |
0.29988779505189 |
Real period |
R |
4.4645025316683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440m4 |
Quadratic twists by: -3 |