Atkin-Lehner |
2- 3- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050ck |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
451200 |
Modular degree for the optimal curve |
Δ |
27882047661000 = 23 · 3 · 53 · 13 · 595 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31128,-2101128] |
[a1,a2,a3,a4,a6] |
Generators |
[-37114:37682:343] |
Generators of the group modulo torsion |
j |
26685062511176789/223056381288 |
j-invariant |
L |
14.718288532921 |
L(r)(E,1)/r! |
Ω |
0.35960908199397 |
Real period |
R |
6.8214297537081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050o1 |
Quadratic twists by: 5 |