Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41140d |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
50972226825885200 = 24 · 52 · 1110 · 173 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92726,-382835] |
[a1,a2,a3,a4,a6] |
Generators |
[2857:151865:1] |
Generators of the group modulo torsion |
j |
212464384/122825 |
j-invariant |
L |
4.3095118752398 |
L(r)(E,1)/r! |
Ω |
0.29925642923997 |
Real period |
R |
7.2003663984534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41140i1 |
Quadratic twists by: -11 |