Atkin-Lehner |
2- 3- 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15438m |
Isogeny class |
Conductor |
15438 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
11164267584 = 26 · 37 · 312 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3699,-86751] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:27:1] |
Generators of the group modulo torsion |
j |
5597370364691377/11164267584 |
j-invariant |
L |
7.960631646958 |
L(r)(E,1)/r! |
Ω |
0.61225155887001 |
Real period |
R |
0.61915350313493 |
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 |
123504bd1 46314j1 |
Quadratic twists by: -4 -3 |