Atkin-Lehner |
2+ 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162l |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-352878872758272 = -1 · 211 · 36 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5724,886864] |
[a1,a2,a3,a4,a6] |
j |
4934783/83968 |
j-invariant |
L |
2.4059296797352 |
L(r)(E,1)/r! |
Ω |
0.40098827996074 |
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 |
4018l1 36162bg1 |
Quadratic twists by: -3 -7 |