Atkin-Lehner |
2- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36176z |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1185408 |
Modular degree for the optimal curve |
Δ |
-6444302103694278656 = -1 · 226 · 77 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3 1 7- -4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,355133,91005122] |
[a1,a2,a3,a4,a6] |
j |
1209307801035716199/1573315943284736 |
j-invariant |
L |
6.7174750984091 |
L(r)(E,1)/r! |
Ω |
0.15993988329556 |
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 |
4522a1 |
Quadratic twists by: -4 |