Atkin-Lehner |
3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44835k |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
667438386081075 = 312 · 52 · 77 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2790477,-1795341834] |
[a1,a2,a3,a4,a6] |
Generators |
[-81075305406:38794087823:84027672] |
Generators of the group modulo torsion |
j |
20425422893207394889/5673132675 |
j-invariant |
L |
7.1091040628613 |
L(r)(E,1)/r! |
Ω |
0.11680997469061 |
Real period |
R |
15.215104878014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6405j3 |
Quadratic twists by: -7 |