Atkin-Lehner |
2+ 7+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43624b |
Isogeny class |
Conductor |
43624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13120 |
Modular degree for the optimal curve |
Δ |
-9771776 = -1 · 28 · 72 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ -3 -2 7+ 0 -3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44,100] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] [2:-14:1] |
Generators of the group modulo torsion |
j |
36799488/38171 |
j-invariant |
L |
4.8229759103349 |
L(r)(E,1)/r! |
Ω |
1.5179837318076 |
Real period |
R |
0.39715312895611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87248h1 |
Quadratic twists by: -4 |