Atkin-Lehner |
3+ 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
14469c |
Isogeny class |
Conductor |
14469 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
32710256397 = 32 · 74 · 134 · 53 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2716,-54929] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:41:1] |
Generators of the group modulo torsion |
j |
2216985395808457/32710256397 |
j-invariant |
L |
3.1320415731287 |
L(r)(E,1)/r! |
Ω |
0.66188783862926 |
Real period |
R |
1.182995588654 |
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 |
43407j3 101283t3 |
Quadratic twists by: -3 -7 |