Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350g |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
7.27656241424E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11172026,-13775468052] |
[a1,a2,a3,a4,a6] |
j |
83890194895342081/3958384640000 |
j-invariant |
L |
0.33127950495249 |
L(r)(E,1)/r! |
Ω |
0.082819876856812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270n1 8050b1 |
Quadratic twists by: 5 -7 |