Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150y |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
264384 |
Modular degree for the optimal curve |
Δ |
90617856000000 = 217 · 3 · 56 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-147176,21714998] |
[a1,a2,a3,a4,a6] |
Generators |
[-30020:836754:125] |
Generators of the group modulo torsion |
j |
22563705894034033/5799542784 |
j-invariant |
L |
5.5660712106844 |
L(r)(E,1)/r! |
Ω |
0.58865958196537 |
Real period |
R |
9.4555009061885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806k1 |
Quadratic twists by: 5 |