Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400l |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7953072400000000 = -1 · 210 · 58 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,4290812] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:16575:8] |
Generators of the group modulo torsion |
j |
-4/4225 |
j-invariant |
L |
10.706082803011 |
L(r)(E,1)/r! |
Ω |
0.3305160963677 |
Real period |
R |
4.0490020022614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480l2 2600a2 |
Quadratic twists by: 5 -7 |