Atkin-Lehner |
2- 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
58520u |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-84820975993600 = -1 · 28 · 52 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8260,-333200] |
[a1,a2,a3,a4,a6] |
Generators |
[70:770:1] |
Generators of the group modulo torsion |
j |
243428436498224/331331937475 |
j-invariant |
L |
3.5950215677225 |
L(r)(E,1)/r! |
Ω |
0.32294169230672 |
Real period |
R |
0.34787835286276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040n2 |
Quadratic twists by: -4 |