Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28152c |
Isogeny class |
Conductor |
28152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-2277539140608 = -1 · 210 · 39 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 3 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4995,154062] |
[a1,a2,a3,a4,a6] |
j |
-683815500/112999 |
j-invariant |
L |
3.1600138494817 |
L(r)(E,1)/r! |
Ω |
0.79000346237034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56304a1 28152m1 |
Quadratic twists by: -4 -3 |