Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26208h |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-39476870891168256 = -1 · 29 · 325 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -1 13+ 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114267,-17675278] |
[a1,a2,a3,a4,a6] |
j |
-442067613591752/105765793497 |
j-invariant |
L |
2.3078184235012 |
L(r)(E,1)/r! |
Ω |
0.12821213463895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26208bo1 52416by1 8736l1 |
Quadratic twists by: -4 8 -3 |