Atkin-Lehner |
3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6903f |
Isogeny class |
Conductor |
6903 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11579292387 = 39 · 132 · 592 |
Discriminant |
Eigenvalues |
1 3- 0 2 4 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1152,-13847] |
[a1,a2,a3,a4,a6] |
Generators |
[248:3737:1] |
Generators of the group modulo torsion |
j |
232041498625/15883803 |
j-invariant |
L |
5.2779745193449 |
L(r)(E,1)/r! |
Ω |
0.82297231143897 |
Real period |
R |
3.2066537634275 |
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 |
110448bq2 2301a2 89739f2 |
Quadratic twists by: -4 -3 13 |