Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13984l |
Isogeny class |
Conductor |
13984 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
118360576 = 29 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3 3 -2 -5 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-331,2258] |
[a1,a2,a3,a4,a6] |
j |
7833173256/231173 |
j-invariant |
L |
5.5724837541886 |
L(r)(E,1)/r! |
Ω |
1.8574945847295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13984e1 27968bq1 125856q1 |
Quadratic twists by: -4 8 -3 |