Atkin-Lehner |
2- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33524g |
Isogeny class |
Conductor |
33524 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18360 |
Modular degree for the optimal curve |
Δ |
620059904 = 28 · 174 · 29 |
Discriminant |
Eigenvalues |
2- 0 1 -1 -6 -1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2312,42772] |
[a1,a2,a3,a4,a6] |
Generators |
[21:59:1] |
Generators of the group modulo torsion |
j |
63922176/29 |
j-invariant |
L |
4.6866061770558 |
L(r)(E,1)/r! |
Ω |
1.6004874562796 |
Real period |
R |
2.928236743542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33524b1 |
Quadratic twists by: 17 |