Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bs |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7262264873452680 = 23 · 310 · 5 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-206694045,1143825254365] |
[a1,a2,a3,a4,a6] |
Generators |
[8321:-961:1] |
Generators of the group modulo torsion |
j |
277536408914951281369/2063880 |
j-invariant |
L |
5.001993784124 |
L(r)(E,1)/r! |
Ω |
0.20615962023462 |
Real period |
R |
3.0328403931401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490cu4 8190bq4 |
Quadratic twists by: -3 13 |