Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150ct |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-17280033750000 = -1 · 24 · 38 · 57 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2787,-191583] |
[a1,a2,a3,a4,a6] |
Generators |
[48:207:1] |
Generators of the group modulo torsion |
j |
153216258551/1105922160 |
j-invariant |
L |
11.587653855496 |
L(r)(E,1)/r! |
Ω |
0.34467343721445 |
Real period |
R |
2.1012015658082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030d1 |
Quadratic twists by: 5 |