Atkin-Lehner |
3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4257b |
Isogeny class |
Conductor |
4257 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-9310059 = -1 · 39 · 11 · 43 |
Discriminant |
Eigenvalues |
1 3+ 3 5 11+ -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12,143] |
[a1,a2,a3,a4,a6] |
j |
9261/473 |
j-invariant |
L |
3.5037909017285 |
L(r)(E,1)/r! |
Ω |
1.7518954508642 |
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 |
68112bi1 4257d1 106425b1 46827b1 |
Quadratic twists by: -4 -3 5 -11 |