Atkin-Lehner |
2- 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126dh |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
259616106653904 = 24 · 39 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11+ 13- -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96662,11565397] |
[a1,a2,a3,a4,a6] |
Generators |
[331:3803:1] |
Generators of the group modulo torsion |
j |
880260507/2288 |
j-invariant |
L |
11.426878211282 |
L(r)(E,1)/r! |
Ω |
0.55419097633141 |
Real period |
R |
0.85912608015033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126e1 126126dp1 |
Quadratic twists by: -3 -7 |