Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224bd |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-806887666368 = -1 · 26 · 37 · 78 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4116,-110446] |
[a1,a2,a3,a4,a6] |
j |
-28672/3 |
j-invariant |
L |
1.1850829000586 |
L(r)(E,1)/r! |
Ω |
0.29627072501462 |
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 |
28224es1 441e1 9408c1 28224bx1 |
Quadratic twists by: -4 8 -3 -7 |