Atkin-Lehner |
2- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28864q |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-7566524416 = -1 · 224 · 11 · 41 |
Discriminant |
Eigenvalues |
2- -2 -3 -5 11+ -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4097,-102401] |
[a1,a2,a3,a4,a6] |
j |
-29019350017/28864 |
j-invariant |
L |
0.59668940794628 |
L(r)(E,1)/r! |
Ω |
0.29834470397329 |
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 |
28864i1 7216i1 |
Quadratic twists by: -4 8 |