Atkin-Lehner |
2- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
41272p |
Isogeny class |
Conductor |
41272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
907984 = 24 · 7 · 112 · 67 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 11- -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34,61] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:7:1] [-2:11:1] |
Generators of the group modulo torsion |
j |
271669248/56749 |
j-invariant |
L |
4.8234425669838 |
L(r)(E,1)/r! |
Ω |
2.6477110040707 |
Real period |
R |
0.45543514374939 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544h1 |
Quadratic twists by: -4 |