Atkin-Lehner |
3- 7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12369k |
Isogeny class |
Conductor |
12369 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1029178267047 = 32 · 73 · 192 · 314 |
Discriminant |
Eigenvalues |
1 3- 0 7- -2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2971,-38989] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1871:1] |
Generators of the group modulo torsion |
j |
2898821808051625/1029178267047 |
j-invariant |
L |
6.6766935077333 |
L(r)(E,1)/r! |
Ω |
0.66564979649694 |
Real period |
R |
0.83586163260698 |
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 |
37107p2 86583d2 |
Quadratic twists by: -3 -7 |