Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4592k |
Isogeny class |
Conductor |
4592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1270170318405632 = 217 · 78 · 412 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 6 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35544,-1938668] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:686:1] |
Generators of the group modulo torsion |
j |
1212480836738137/310100175392 |
j-invariant |
L |
2.3496700835059 |
L(r)(E,1)/r! |
Ω |
0.35426262648905 |
Real period |
R |
0.82907069071625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
574b2 18368ba2 41328cj2 114800bd2 |
Quadratic twists by: -4 8 -3 5 |