Atkin-Lehner |
3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025bu |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-992020198563441675 = -1 · 39 · 52 · 1710 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 2 7 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-281775,74904826] |
[a1,a2,a3,a4,a6] |
j |
-5624320000/2255067 |
j-invariant |
L |
2.0863595994004 |
L(r)(E,1)/r! |
Ω |
0.26079495021505 |
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 |
21675f1 65025ch1 3825j1 |
Quadratic twists by: -3 5 17 |