Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2660g |
Isogeny class |
Conductor |
2660 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-4256000 = -1 · 28 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -6 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20,100] |
[a1,a2,a3,a4,a6] |
Generators |
[3:14:1] |
Generators of the group modulo torsion |
j |
3286064/16625 |
j-invariant |
L |
3.8136862137893 |
L(r)(E,1)/r! |
Ω |
1.7706477023786 |
Real period |
R |
2.1538368183949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10640t1 42560o1 23940o1 13300f1 |
Quadratic twists by: -4 8 -3 5 |