Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190h |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
102599955315000 = 23 · 34 · 54 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-738828,-244742472] |
[a1,a2,a3,a4,a6] |
Generators |
[-170513:80494:343] |
Generators of the group modulo torsion |
j |
25176685646263969/57915000 |
j-invariant |
L |
3.9094801201835 |
L(r)(E,1)/r! |
Ω |
0.16284097784132 |
Real period |
R |
6.0019906721542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290t3 |
Quadratic twists by: -11 |