Atkin-Lehner |
3+ 5- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33495i |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-5861625 = -1 · 3 · 53 · 72 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- 1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20,-130] |
[a1,a2,a3,a4,a6] |
Generators |
[8:13:1] |
Generators of the group modulo torsion |
j |
-887503681/5861625 |
j-invariant |
L |
2.6471280002193 |
L(r)(E,1)/r! |
Ω |
1.0044825788104 |
Real period |
R |
0.43921916551208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100485i1 |
Quadratic twists by: -3 |