Atkin-Lehner |
2- 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150ck |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-2612741103000 = -1 · 23 · 311 · 53 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -3 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2583,-93819] |
[a1,a2,a3,a4,a6] |
Generators |
[65:102:1] |
Generators of the group modulo torsion |
j |
-15247457309573/20901928824 |
j-invariant |
L |
6.3763266700331 |
L(r)(E,1)/r! |
Ω |
0.31881070063406 |
Real period |
R |
3.333392227915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150bs1 |
Quadratic twists by: 5 |