Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90405s |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-33659158763671875 = -1 · 36 · 59 · 73 · 413 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 2 -6 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-55503,-10160971] |
[a1,a2,a3,a4,a6] |
Generators |
[761845411222:68711623151889:93576664] |
Generators of the group modulo torsion |
j |
-75622570831872/134611328125 |
j-invariant |
L |
11.909251925183 |
L(r)(E,1)/r! |
Ω |
0.14675986400543 |
Real period |
R |
20.28697015681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10045m1 90405bw1 |
Quadratic twists by: -3 -7 |