Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730t |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-1675182080 = -1 · 214 · 5 · 112 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-261,2443] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:52:1] |
Generators of the group modulo torsion |
j |
-16254134809/13844480 |
j-invariant |
L |
5.0339033635224 |
L(r)(E,1)/r! |
Ω |
1.3694894505044 |
Real period |
R |
0.13127685132349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840bd1 78650l1 15730g1 |
Quadratic twists by: -4 5 -11 |