Atkin-Lehner |
3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16275a |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-94201734375 = -1 · 34 · 56 · 74 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,900,-10125] |
[a1,a2,a3,a4,a6] |
Generators |
[90:855:1] |
Generators of the group modulo torsion |
j |
5150827583/6028911 |
j-invariant |
L |
4.5293101450118 |
L(r)(E,1)/r! |
Ω |
0.5748929961652 |
Real period |
R |
1.969631816366 |
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 |
48825s1 651d1 113925cd1 |
Quadratic twists by: -3 5 -7 |