Atkin-Lehner |
3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575bh |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-6800985376171875 = -1 · 36 · 58 · 77 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,44917,-1537432] |
[a1,a2,a3,a4,a6] |
Generators |
[20470:398822:125] |
Generators of the group modulo torsion |
j |
218071040/147987 |
j-invariant |
L |
5.1275605493889 |
L(r)(E,1)/r! |
Ω |
0.23872161239649 |
Real period |
R |
5.3698118394575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999747731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575by1 15225y1 |
Quadratic twists by: 5 -7 |