Atkin-Lehner |
2+ 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23256i |
Isogeny class |
Conductor |
23256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
110673257472 = 210 · 39 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444747,-114160970] |
[a1,a2,a3,a4,a6] |
j |
13032727327528996/148257 |
j-invariant |
L |
0.73948827002596 |
L(r)(E,1)/r! |
Ω |
0.18487206750649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46512i1 7752i1 |
Quadratic twists by: -4 -3 |