Atkin-Lehner |
2+ 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126n |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-14919978700763136 = -1 · 212 · 39 · 76 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15132,5829200] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:1996:1] |
Generators of the group modulo torsion |
j |
165469149/6443008 |
j-invariant |
L |
4.2615448694562 |
L(r)(E,1)/r! |
Ω |
0.29824305463778 |
Real period |
R |
3.5722079472468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126ee1 2574a1 |
Quadratic twists by: -3 -7 |