Atkin-Lehner |
2- 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150cb |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
36408960000000000 = 216 · 33 · 510 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-82963,-596719] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:2862:1] |
Generators of the group modulo torsion |
j |
4041637490654569/2330173440000 |
j-invariant |
L |
8.4067437480748 |
L(r)(E,1)/r! |
Ω |
0.30658054641231 |
Real period |
R |
0.8569061057577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030j1 |
Quadratic twists by: 5 |