Atkin-Lehner |
2- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44198bi |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
340 |
Product of Tamagawa factors cp |
deg |
3100800 |
Modular degree for the optimal curve |
Δ |
-7.5097579856857E+21 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- -2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3106438,3598885639] |
[a1,a2,a3,a4,a6] |
Generators |
[-13677:1182377:27] |
Generators of the group modulo torsion |
j |
9665351525403333600569/21894338150687309824 |
j-invariant |
L |
14.806517475733 |
L(r)(E,1)/r! |
Ω |
0.091788435121484 |
Real period |
R |
0.47444518204704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198be1 |
Quadratic twists by: -7 |