Atkin-Lehner |
7- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
85547h |
Isogeny class |
Conductor |
85547 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104160 |
Modular degree for the optimal curve |
Δ |
-4725658454671 = -1 · 74 · 117 · 101 |
Discriminant |
Eigenvalues |
-1 0 -2 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,824,103986] |
[a1,a2,a3,a4,a6] |
j |
34965783/2667511 |
j-invariant |
L |
0.58953474737801 |
L(r)(E,1)/r! |
Ω |
0.58953483793409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7777b1 |
Quadratic twists by: -11 |