Atkin-Lehner |
3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15675n |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
659853973388671875 = 32 · 516 · 113 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 11- -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1566275,-754124250] |
[a1,a2,a3,a4,a6] |
Generators |
[-706:980:1] |
Generators of the group modulo torsion |
j |
27196196312929459249/42230654296875 |
j-invariant |
L |
3.4010329647035 |
L(r)(E,1)/r! |
Ω |
0.13496557744024 |
Real period |
R |
2.0999385109939 |
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 |
47025x2 3135d2 |
Quadratic twists by: -3 5 |