Atkin-Lehner |
3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90405j |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1322496 |
Modular degree for the optimal curve |
Δ |
193842154225125 = 38 · 53 · 78 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 6 -1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-408513,-100495656] |
[a1,a2,a3,a4,a6] |
j |
1794029203456/46125 |
j-invariant |
L |
0.75536851359693 |
L(r)(E,1)/r! |
Ω |
0.18884207084178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30135bb1 90405cc1 |
Quadratic twists by: -3 -7 |