Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13984d |
Isogeny class |
Conductor |
13984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-41168896 = -1 · 212 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 2 -3 3 3 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77,-379] |
[a1,a2,a3,a4,a6] |
j |
-12487168/10051 |
j-invariant |
L |
3.1128049772301 |
L(r)(E,1)/r! |
Ω |
0.77820124430753 |
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 |
13984k1 27968by1 125856h1 |
Quadratic twists by: -4 8 -3 |