Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382y |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-2.2628160559891E+20 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 11- 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1446714,273893076] |
[a1,a2,a3,a4,a6] |
Generators |
[1213128:66148695:512] |
Generators of the group modulo torsion |
j |
17709945143/11967264 |
j-invariant |
L |
3.8412271496518 |
L(r)(E,1)/r! |
Ω |
0.11123317871016 |
Real period |
R |
8.633276496726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794bj1 41382cs1 |
Quadratic twists by: -3 -11 |