Atkin-Lehner |
3- 7+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43911c |
Isogeny class |
Conductor |
43911 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
155485143462537 = 38 · 76 · 173 · 41 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 0 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40856,-3111190] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:289:1] |
Generators of the group modulo torsion |
j |
10345554021193273/213285519153 |
j-invariant |
L |
2.0524535872741 |
L(r)(E,1)/r! |
Ω |
0.33622560537338 |
Real period |
R |
1.0173990095126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14637d1 |
Quadratic twists by: -3 |