Atkin-Lehner |
3+ 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105y |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-66867409483875 = -1 · 35 · 53 · 72 · 112 · 135 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 11+ 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2280,390431] |
[a1,a2,a3,a4,a6] |
Generators |
[730:9291:8] |
Generators of the group modulo torsion |
j |
26738785611776/1364641009875 |
j-invariant |
L |
11.789139650236 |
L(r)(E,1)/r! |
Ω |
0.47005434615085 |
Real period |
R |
4.1800626293724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105bo1 |
Quadratic twists by: -7 |