Atkin-Lehner |
2- 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14322l |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-769002019205112 = -1 · 23 · 36 · 74 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35363,2883513] |
[a1,a2,a3,a4,a6] |
j |
-4890708549113640625/769002019205112 |
j-invariant |
L |
5.8435610839018 |
L(r)(E,1)/r! |
Ω |
0.48696342365848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
114576v2 42966n2 100254bo2 |
Quadratic twists by: -4 -3 -7 |