Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162b |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2501600805144 = -1 · 23 · 33 · 710 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -4 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4125,-126211] |
[a1,a2,a3,a4,a6] |
j |
-2444008923/787528 |
j-invariant |
L |
1.1721867909871 |
L(r)(E,1)/r! |
Ω |
0.2930466977429 |
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 |
36162bt1 5166d1 |
Quadratic twists by: -3 -7 |