Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150bs |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-40824079734375000 = -1 · 23 · 311 · 59 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64576,-11598202] |
[a1,a2,a3,a4,a6] |
Generators |
[1102:34886:1] |
Generators of the group modulo torsion |
j |
-15247457309573/20901928824 |
j-invariant |
L |
6.0047221832834 |
L(r)(E,1)/r! |
Ω |
0.14257647971442 |
Real period |
R |
0.63811814769792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150ck1 |
Quadratic twists by: 5 |