Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960cn |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
713146605516806400 = 28 · 38 · 52 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-325983,-59001118] |
[a1,a2,a3,a4,a6] |
j |
436334416/81225 |
j-invariant |
L |
1.618982383503 |
L(r)(E,1)/r! |
Ω |
0.2023728148068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43320l2 6840f2 |
Quadratic twists by: -3 -19 |