Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150cd |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
13824027000000 = 26 · 38 · 56 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-366638,85295531] |
[a1,a2,a3,a4,a6] |
Generators |
[305:1247:1] |
Generators of the group modulo torsion |
j |
348831893748633625/884737728 |
j-invariant |
L |
8.8284695489601 |
L(r)(E,1)/r! |
Ω |
0.61117053674939 |
Real period |
R |
1.2037651547448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1806c2 |
Quadratic twists by: 5 |