Atkin-Lehner |
2+ 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10810d |
Isogeny class |
Conductor |
10810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
108100 = 22 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19,33] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:9:1] |
Generators of the group modulo torsion |
j |
781229961/108100 |
j-invariant |
L |
3.4149338946225 |
L(r)(E,1)/r! |
Ω |
3.2139633357338 |
Real period |
R |
1.0625304454019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86480i1 97290bc1 54050h1 |
Quadratic twists by: -4 -3 5 |