Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664u |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6943555584 = 214 · 32 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1169,15249] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:144:1] [-25:168:1] |
Generators of the group modulo torsion |
j |
10792418128/423801 |
j-invariant |
L |
7.0503907814367 |
L(r)(E,1)/r! |
Ω |
1.3175151921304 |
Real period |
R |
2.6756392729088 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41664dr2 5208m2 124992co2 |
Quadratic twists by: -4 8 -3 |