Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4176ba |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-2128122740736 = -1 · 225 · 37 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 3 6 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8139,-291206] |
[a1,a2,a3,a4,a6] |
Generators |
[581:13824:1] |
Generators of the group modulo torsion |
j |
-19968681097/712704 |
j-invariant |
L |
3.4377241450731 |
L(r)(E,1)/r! |
Ω |
0.25079397320948 |
Real period |
R |
1.7134204328555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
522j1 16704df1 1392p1 104400eb1 |
Quadratic twists by: -4 8 -3 5 |