Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745y |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-899796054268815 = -1 · 3 · 5 · 118 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16761,-1668864] |
[a1,a2,a3,a4,a6] |
Generators |
[83293805282606107:1358139551890576048:241559928143639] |
Generators of the group modulo torsion |
j |
-293946977449/507911415 |
j-invariant |
L |
4.9571470961587 |
L(r)(E,1)/r! |
Ω |
0.19818630493385 |
Real period |
R |
25.012561275667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235bq1 3795g1 |
Quadratic twists by: -3 -11 |