Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952cv |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
368492544 = 214 · 33 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 -7 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-819,-8974] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:6:1] |
Generators of the group modulo torsion |
j |
11211291/68 |
j-invariant |
L |
3.7471778712994 |
L(r)(E,1)/r! |
Ω |
0.89276516791042 |
Real period |
R |
1.0493179043186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999229756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994f1 119952dg1 119952cg1 |
Quadratic twists by: -4 -3 -7 |