Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5202m |
Isogeny class |
Conductor |
5202 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-8787445357516992 = -1 · 26 · 39 · 178 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,50665,-1048849] |
[a1,a2,a3,a4,a6] |
j |
2828375/1728 |
j-invariant |
L |
2.864187805379 |
L(r)(E,1)/r! |
Ω |
0.23868231711491 |
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 |
41616cs1 1734h1 5202g1 |
Quadratic twists by: -4 -3 17 |