Atkin-Lehner |
2+ 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150bk |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
7021728000 = 28 · 36 · 53 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22831,1325858] |
[a1,a2,a3,a4,a6] |
Generators |
[88:-58:1] [-38:1481:1] |
Generators of the group modulo torsion |
j |
10528370427530717/56173824 |
j-invariant |
L |
7.9174570911075 |
L(r)(E,1)/r! |
Ω |
1.1774986559278 |
Real period |
R |
1.1206604569849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45150cp1 |
Quadratic twists by: 5 |