Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080l |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-32501760 = -1 · 212 · 3 · 5 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41,-279] |
[a1,a2,a3,a4,a6] |
j |
-1906624/7935 |
j-invariant |
L |
1.7149682021646 |
L(r)(E,1)/r! |
Ω |
0.85748410108232 |
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 |
22080ba1 11040p1 66240cr1 110400dh1 |
Quadratic twists by: -4 8 -3 5 |