Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320k |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1187703929776000000 = -1 · 210 · 56 · 7 · 139 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 2 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,236544,28159600] |
[a1,a2,a3,a4,a6] |
Generators |
[535419:-17836174:729] |
Generators of the group modulo torsion |
j |
134793068/109375 |
j-invariant |
L |
4.0169617102596 |
L(r)(E,1)/r! |
Ω |
0.17664516686325 |
Real period |
R |
11.370143269637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640f2 47320bb2 |
Quadratic twists by: -4 13 |