Atkin-Lehner |
2+ 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10810b |
Isogeny class |
Conductor |
10810 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-91495840 = -1 · 25 · 5 · 233 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -5 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4117,99981] |
[a1,a2,a3,a4,a6] |
Generators |
[45:69:1] |
Generators of the group modulo torsion |
j |
-7720245801045721/91495840 |
j-invariant |
L |
5.2026892807096 |
L(r)(E,1)/r! |
Ω |
1.7311830168873 |
Real period |
R |
3.0052797595393 |
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 |
86480m1 97290bk1 54050l1 |
Quadratic twists by: -4 -3 5 |