Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162c |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-466770995712 = -1 · 29 · 33 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 5 6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-209631,36995405] |
[a1,a2,a3,a4,a6] |
j |
-320729857537851/146944 |
j-invariant |
L |
3.0544370803557 |
L(r)(E,1)/r! |
Ω |
0.7636092700911 |
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 |
36162bu1 5166e1 |
Quadratic twists by: -3 -7 |