Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
104040h |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-1883454509070000 = -1 · 24 · 33 · 54 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -6 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29478,751689] |
[a1,a2,a3,a4,a6] |
Generators |
[0:867:1] |
Generators of the group modulo torsion |
j |
940032/625 |
j-invariant |
L |
7.8016606944484 |
L(r)(E,1)/r! |
Ω |
0.29397668313957 |
Real period |
R |
0.55288261654274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104040bs1 104040e1 |
Quadratic twists by: -3 17 |