Atkin-Lehner |
2+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21386d |
Isogeny class |
Conductor |
21386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
36815086769733632 = 216 · 177 · 372 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-115461,-11998771] |
[a1,a2,a3,a4,a6] |
j |
7052482298233/1525219328 |
j-invariant |
L |
1.0518874184544 |
L(r)(E,1)/r! |
Ω |
0.2629718546136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1258b1 |
Quadratic twists by: 17 |