Atkin-Lehner |
2- 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11438a |
Isogeny class |
Conductor |
11438 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
3976 |
Modular degree for the optimal curve |
Δ |
-732032 = -1 · 27 · 7 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3 4 7- -2 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12,-41] |
[a1,a2,a3,a4,a6] |
j |
206425071/732032 |
j-invariant |
L |
10.156286941292 |
L(r)(E,1)/r! |
Ω |
1.4508981344702 |
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 |
91504d1 102942w1 80066i1 |
Quadratic twists by: -4 -3 -7 |