Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126by |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-7052021182782576 = -1 · 24 · 39 · 76 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67923,7938405] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1035:1] |
Generators of the group modulo torsion |
j |
-404075127457/82223856 |
j-invariant |
L |
3.7241020614142 |
L(r)(E,1)/r! |
Ω |
0.40201292511926 |
Real period |
R |
2.3159094180853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999557245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042dm1 2574j1 |
Quadratic twists by: -3 -7 |