Atkin-Lehner |
2- 3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22620i |
Isogeny class |
Conductor |
22620 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
17772279563273040 = 24 · 320 · 5 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86505,-7428960] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:1539:1] |
Generators of the group modulo torsion |
j |
4474375016012824576/1110767472704565 |
j-invariant |
L |
6.8082028972038 |
L(r)(E,1)/r! |
Ω |
0.28344102026008 |
Real period |
R |
1.6013214767942 |
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 |
90480bf1 67860d1 113100i1 |
Quadratic twists by: -4 -3 5 |