Atkin-Lehner |
3- 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85425l |
Isogeny class |
Conductor |
85425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-12012890625 = -1 · 33 · 58 · 17 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -5 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,5273] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:29:1] [7:-79:1] |
Generators of the group modulo torsion |
j |
-1/768825 |
j-invariant |
L |
14.922823087692 |
L(r)(E,1)/r! |
Ω |
1.008451966525 |
Real period |
R |
2.4662921624427 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17085c1 |
Quadratic twists by: 5 |