Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312cd |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-436731904 = -1 · 219 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 2 3 7- 0 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289,2241] |
[a1,a2,a3,a4,a6] |
j |
-208537/34 |
j-invariant |
L |
6.4508304865922 |
L(r)(E,1)/r! |
Ω |
1.6127076219063 |
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 |
53312bc1 13328x1 53312bk1 |
Quadratic twists by: -4 8 -7 |