Atkin-Lehner |
2- 3- 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558bm |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-123248142295488 = -1 · 26 · 310 · 74 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8665,617081] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-589:1] |
Generators of the group modulo torsion |
j |
-71950289516274961/123248142295488 |
j-invariant |
L |
7.6776306181253 |
L(r)(E,1)/r! |
Ω |
0.52609704871892 |
Real period |
R |
0.12161302806553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674v1 |
Quadratic twists by: -3 |