Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296p |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
-10857457728 = -1 · 26 · 310 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 0 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-5060] |
[a1,a2,a3,a4,a6] |
Generators |
[72:598:1] |
Generators of the group modulo torsion |
j |
-7529536/232713 |
j-invariant |
L |
3.5019048447625 |
L(r)(E,1)/r! |
Ω |
0.5568147526889 |
Real period |
R |
3.1445869744617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296o1 63648x2 42432q1 |
Quadratic twists by: -4 8 -3 |