Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150bt |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
59932561500 = 22 · 33 · 53 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2661,51268] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-114:1] |
Generators of the group modulo torsion |
j |
16661484415421/479460492 |
j-invariant |
L |
5.4016469530754 |
L(r)(E,1)/r! |
Ω |
1.1058555339308 |
Real period |
R |
0.20352443528029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45150cl2 |
Quadratic twists by: 5 |