Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450y |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-11266341435000000 = -1 · 26 · 37 · 57 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15192,5161216] |
[a1,a2,a3,a4,a6] |
Generators |
[2024:89888:1] |
Generators of the group modulo torsion |
j |
-34043726521/989088960 |
j-invariant |
L |
5.1742444908872 |
L(r)(E,1)/r! |
Ω |
0.33727723867773 |
Real period |
R |
0.1598043802919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150t2 9090v2 |
Quadratic twists by: -3 5 |