Atkin-Lehner |
2- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38266m |
Isogeny class |
Conductor |
38266 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
505440 |
Modular degree for the optimal curve |
Δ |
-140103253870895104 = -1 · 213 · 199 · 53 |
Discriminant |
Eigenvalues |
2- -2 2 3 2 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,121108,-7810160] |
[a1,a2,a3,a4,a6] |
j |
4175614324727/2978013184 |
j-invariant |
L |
4.7886523560299 |
L(r)(E,1)/r! |
Ω |
0.18417893676841 |
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 |
2014a1 |
Quadratic twists by: -19 |