Atkin-Lehner |
2+ 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4134c |
Isogeny class |
Conductor |
4134 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
425934288 = 24 · 36 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1080,-13706] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:15:1] |
Generators of the group modulo torsion |
j |
139128722155513/425934288 |
j-invariant |
L |
3.2226149645692 |
L(r)(E,1)/r! |
Ω |
0.83305126213036 |
Real period |
R |
0.64474122843453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33072l2 12402i2 103350bk2 53742x2 |
Quadratic twists by: -4 -3 5 13 |