Atkin-Lehner |
2+ 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
14110b |
Isogeny class |
Conductor |
14110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
20388950000 = 24 · 55 · 173 · 83 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -1 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1148,-13792] |
[a1,a2,a3,a4,a6] |
j |
167548422911689/20388950000 |
j-invariant |
L |
1.6532666731959 |
L(r)(E,1)/r! |
Ω |
0.82663333659797 |
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 |
112880d1 126990cg1 70550bc1 |
Quadratic twists by: -4 -3 5 |