Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730j |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-3.5308355716462E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6963149,-7128043675] |
[a1,a2,a3,a4,a6] |
Generators |
[146675544569426:154615337658200791:131872229] |
Generators of the group modulo torsion |
j |
-21075830718885163521/199306463150080 |
j-invariant |
L |
3.4788109567733 |
L(r)(E,1)/r! |
Ω |
0.046443311477549 |
Real period |
R |
18.726113869244 |
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 |
125840cc1 78650cc1 1430h1 |
Quadratic twists by: -4 5 -11 |