Atkin-Lehner |
3+ 5- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
22695b |
Isogeny class |
Conductor |
22695 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.9513624944922E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1121235,404077440] |
[a1,a2,a3,a4,a6] |
j |
155888355101661351365041/19513624944921723225 |
j-invariant |
L |
1.6732459238648 |
L(r)(E,1)/r! |
Ω |
0.20915574048311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68085c4 113475j4 |
Quadratic twists by: -3 5 |