Atkin-Lehner |
3+ 5- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
14235d |
Isogeny class |
Conductor |
14235 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
22736 |
Modular degree for the optimal curve |
Δ |
-162145546875 = -1 · 37 · 57 · 13 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 6 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1352,-27801] |
[a1,a2,a3,a4,a6] |
j |
-273624891501961/162145546875 |
j-invariant |
L |
2.6825074883766 |
L(r)(E,1)/r! |
Ω |
0.38321535548237 |
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 |
42705b1 71175p1 |
Quadratic twists by: -3 5 |