Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120ct |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-14969733120 = -1 · 218 · 35 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 7 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2305,-43777] |
[a1,a2,a3,a4,a6] |
j |
-5168743489/57105 |
j-invariant |
L |
3.4427083286515 |
L(r)(E,1)/r! |
Ω |
0.3442708328837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120o1 11280i1 |
Quadratic twists by: -4 8 |