Atkin-Lehner |
2+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44770f |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
6.4973034266624E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11- -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6832469,-6762091275] |
[a1,a2,a3,a4,a6] |
Generators |
[7866:-656733:1] |
Generators of the group modulo torsion |
j |
19911347259676611201/366755840000000 |
j-invariant |
L |
4.4241639714467 |
L(r)(E,1)/r! |
Ω |
0.093484755864229 |
Real period |
R |
3.3803555384444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4070e1 |
Quadratic twists by: -11 |