Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162ck |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
196919013816 = 23 · 36 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17723,-903437] |
[a1,a2,a3,a4,a6] |
j |
7177888089/2296 |
j-invariant |
L |
2.4827143069019 |
L(r)(E,1)/r! |
Ω |
0.41378571782103 |
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 |
4018k1 5166bi1 |
Quadratic twists by: -3 -7 |