Atkin-Lehner |
2+ 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10810a |
Isogeny class |
Conductor |
10810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
49726000 = 24 · 53 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -1 -3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-118,-412] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:14:1] [-7:15:1] |
Generators of the group modulo torsion |
j |
184122897769/49726000 |
j-invariant |
L |
3.6874432976651 |
L(r)(E,1)/r! |
Ω |
1.4761971617368 |
Real period |
R |
0.62448353669187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86480d1 97290bm1 54050j1 |
Quadratic twists by: -4 -3 5 |