Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126r |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
3027024 = 24 · 33 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- 13+ -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-219,1301] |
[a1,a2,a3,a4,a6] |
Generators |
[10:1:1] |
Generators of the group modulo torsion |
j |
880260507/2288 |
j-invariant |
L |
4.97791649957 |
L(r)(E,1)/r! |
Ω |
2.5396220985002 |
Real period |
R |
0.49002532018531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999943151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126dp1 126126e1 |
Quadratic twists by: -3 -7 |