Atkin-Lehner |
2+ 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
53400f |
Isogeny class |
Conductor |
53400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2281248000 = 28 · 32 · 53 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-388,1972] |
[a1,a2,a3,a4,a6] |
Generators |
[22:60:1] |
Generators of the group modulo torsion |
j |
202389392/71289 |
j-invariant |
L |
6.5742345451721 |
L(r)(E,1)/r! |
Ω |
1.3379062608043 |
Real period |
R |
1.2284557479503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106800v2 53400w2 |
Quadratic twists by: -4 5 |