Atkin-Lehner |
2- 3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14322j |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1609813466646 = -1 · 2 · 3 · 74 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2891,12359] |
[a1,a2,a3,a4,a6] |
j |
2672136246863663/1609813466646 |
j-invariant |
L |
4.1408840248596 |
L(r)(E,1)/r! |
Ω |
0.51761050310745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114576bi3 42966h3 100254bw3 |
Quadratic twists by: -4 -3 -7 |