Atkin-Lehner |
2+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
12008c |
Isogeny class |
Conductor |
12008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
29203456 = 210 · 192 · 79 |
Discriminant |
Eigenvalues |
2+ 1 3 1 2 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104,-352] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
122657188/28519 |
j-invariant |
L |
6.5972172995681 |
L(r)(E,1)/r! |
Ω |
1.5188500929644 |
Real period |
R |
1.085890129995 |
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 |
24016a1 96064d1 108072o1 |
Quadratic twists by: -4 8 -3 |