Atkin-Lehner |
2- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450bo |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-19471375000000 = -1 · 26 · 59 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5945,-119553] |
[a1,a2,a3,a4,a6] |
j |
11899199187/9969344 |
j-invariant |
L |
4.5472289909173 |
L(r)(E,1)/r! |
Ω |
0.37893574872072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65450l1 |
Quadratic twists by: 5 |