Atkin-Lehner |
3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6045g |
Isogeny class |
Conductor |
6045 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1978251246075 = -1 · 3 · 52 · 134 · 314 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2984,92021] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:408:1] |
Generators of the group modulo torsion |
j |
-2937047271278329/1978251246075 |
j-invariant |
L |
5.3071240955585 |
L(r)(E,1)/r! |
Ω |
0.76548602436683 |
Real period |
R |
1.7332530988885 |
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 |
96720br3 18135p4 30225c3 78585u3 |
Quadratic twists by: -4 -3 5 13 |