Atkin-Lehner |
17- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7429a |
Isogeny class |
Conductor |
7429 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-170867 = -1 · 17 · 19 · 232 |
Discriminant |
Eigenvalues |
0 -1 4 2 4 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21,-36] |
[a1,a2,a3,a4,a6] |
j |
-1073741824/170867 |
j-invariant |
L |
2.2021769229035 |
L(r)(E,1)/r! |
Ω |
1.1010884614518 |
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 |
118864l1 66861h1 126293b1 |
Quadratic twists by: -4 -3 17 |