Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127160g |
Isogeny class |
Conductor |
127160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
5841291698000 = 24 · 53 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11- 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10982,-427431] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:55:1] |
Generators of the group modulo torsion |
j |
379275264/15125 |
j-invariant |
L |
7.3367143722575 |
L(r)(E,1)/r! |
Ω |
0.46751506976811 |
Real period |
R |
2.615500054299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000313591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
440a1 |
Quadratic twists by: 17 |