Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450by |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-2208870000000 = -1 · 27 · 37 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 0 -3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3145,21647] |
[a1,a2,a3,a4,a6] |
Generators |
[9:220:1] |
Generators of the group modulo torsion |
j |
302111711/193920 |
j-invariant |
L |
10.302303606837 |
L(r)(E,1)/r! |
Ω |
0.5123893400517 |
Real period |
R |
0.17952140382768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150n1 9090j1 |
Quadratic twists by: -3 5 |