Atkin-Lehner |
2- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
854c |
Isogeny class |
Conductor |
854 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
109312 = 28 · 7 · 61 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -5 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,3] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
244140625/109312 |
j-invariant |
L |
2.7291045756858 |
L(r)(E,1)/r! |
Ω |
2.9994943944001 |
Real period |
R |
0.11373185847509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6832k1 27328a1 7686f1 21350h1 |
Quadratic twists by: -4 8 -3 5 |