Atkin-Lehner |
5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
35275d |
Isogeny class |
Conductor |
35275 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8208 |
Modular degree for the optimal curve |
Δ |
-22046875 = -1 · 56 · 17 · 83 |
Discriminant |
Eigenvalues |
0 2 5+ -4 -4 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,67,-107] |
[a1,a2,a3,a4,a6] |
Generators |
[31:175:1] |
Generators of the group modulo torsion |
j |
2097152/1411 |
j-invariant |
L |
4.3311143656112 |
L(r)(E,1)/r! |
Ω |
1.2187774370789 |
Real period |
R |
3.5536548625255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1411a1 |
Quadratic twists by: 5 |