Atkin-Lehner |
2- 3+ 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950bt |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-46623515625000 = -1 · 23 · 33 · 510 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 4 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2513,331031] |
[a1,a2,a3,a4,a6] |
Generators |
[281:4540:1] |
Generators of the group modulo torsion |
j |
-179726425/4774248 |
j-invariant |
L |
11.523727192008 |
L(r)(E,1)/r! |
Ω |
0.53361345955979 |
Real period |
R |
3.5992742686552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950be1 |
Quadratic twists by: 5 |