Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075bn |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1908742054516171875 = 320 · 57 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4702088,-3924328083] |
[a1,a2,a3,a4,a6] |
Generators |
[-1244:1189:1] |
Generators of the group modulo torsion |
j |
735827390583361804729/122159491489035 |
j-invariant |
L |
5.0237244564815 |
L(r)(E,1)/r! |
Ω |
0.10252533392848 |
Real period |
R |
1.2249958770407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015b3 |
Quadratic twists by: 5 |