Atkin-Lehner |
3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13167c |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-13548843 = -1 · 33 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
-2 3+ -2 7- 11- -7 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,39,150] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
242970624/501809 |
j-invariant |
L |
1.6303468851965 |
L(r)(E,1)/r! |
Ω |
1.5464738486869 |
Real period |
R |
0.13177937720874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13167a1 92169d1 |
Quadratic twists by: -3 -7 |