Atkin-Lehner |
3+ 5- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41055f |
Isogeny class |
Conductor |
41055 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
163578515625 = 32 · 58 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2233405,-1285623550] |
[a1,a2,a3,a4,a6] |
Generators |
[1893:34753:1] |
Generators of the group modulo torsion |
j |
1232043882072259432695121/163578515625 |
j-invariant |
L |
4.0416834236718 |
L(r)(E,1)/r! |
Ω |
0.12349736251891 |
Real period |
R |
4.0908600609347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123165d6 |
Quadratic twists by: -3 |