Atkin-Lehner |
2+ 3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16530o |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
6450402720000 = 28 · 3 · 54 · 19 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5228,78506] |
[a1,a2,a3,a4,a6] |
Generators |
[65:87:1] |
Generators of the group modulo torsion |
j |
15798324461979961/6450402720000 |
j-invariant |
L |
5.010385828932 |
L(r)(E,1)/r! |
Ω |
0.68156679028921 |
Real period |
R |
1.8378190884293 |
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 |
49590bl1 82650bh1 |
Quadratic twists by: -3 5 |