Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
1314a |
Isogeny class |
Conductor |
1314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1057056658371072 = -1 · 29 · 318 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14598,1405620] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:720:1] |
Generators of the group modulo torsion |
j |
471910376801375/1450009133568 |
j-invariant |
L |
2.0895657322661 |
L(r)(E,1)/r! |
Ω |
0.34673672565723 |
Real period |
R |
3.0131877843419 |
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 |
10512s2 42048q2 438a2 32850bm2 |
Quadratic twists by: -4 8 -3 5 |