Atkin-Lehner |
2+ 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822d |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-26258376204864 = -1 · 26 · 33 · 17 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 6 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2159,-242603] |
[a1,a2,a3,a4,a6] |
j |
23639903/558144 |
j-invariant |
L |
2.5927613481637 |
L(r)(E,1)/r! |
Ω |
0.32409516852458 |
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 |
110466bx1 1938i1 |
Quadratic twists by: -3 -19 |