Atkin-Lehner |
3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3519b |
Isogeny class |
Conductor |
3519 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
10557 = 33 · 17 · 23 |
Discriminant |
Eigenvalues |
0 3+ -2 -3 0 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] |
Generators of the group modulo torsion |
j |
884736/391 |
j-invariant |
L |
2.2944020793205 |
L(r)(E,1)/r! |
Ω |
3.1775116520194 |
Real period |
R |
0.36103755557629 |
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 |
56304u1 3519a1 87975a1 59823a1 |
Quadratic twists by: -4 -3 5 17 |