Atkin-Lehner |
3+ 5- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
22695b |
Isogeny class |
Conductor |
22695 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
52085025 = 34 · 52 · 172 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1085105,434614502] |
[a1,a2,a3,a4,a6] |
j |
141298981394596339723921/52085025 |
j-invariant |
L |
1.6732459238648 |
L(r)(E,1)/r! |
Ω |
0.83662296193243 |
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 |
68085c1 113475j1 |
Quadratic twists by: -3 5 |