Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126ci |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1766095963632 = -1 · 24 · 38 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11+ 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,-63932] |
[a1,a2,a3,a4,a6] |
j |
-117649/20592 |
j-invariant |
L |
2.9837785323048 |
L(r)(E,1)/r! |
Ω |
0.37297217065723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042cq1 2574g1 |
Quadratic twists by: -3 -7 |