Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5964b |
Isogeny class |
Conductor |
5964 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-10520496 = -1 · 24 · 33 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55,-6] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
1129201664/657531 |
j-invariant |
L |
3.6781590297973 |
L(r)(E,1)/r! |
Ω |
1.3772821443069 |
Real period |
R |
0.29673247296023 |
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 |
23856z1 95424ba1 17892g1 41748n1 |
Quadratic twists by: -4 8 -3 -7 |