Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
11360b |
Isogeny class |
Conductor |
11360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86784 |
Modular degree for the optimal curve |
Δ |
8875000000000 = 29 · 512 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 2 5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1610896,-786417304] |
[a1,a2,a3,a4,a6] |
Generators |
[-76575853065089:326209937500:104553677431] |
Generators of the group modulo torsion |
j |
902935088231125590152/17333984375 |
j-invariant |
L |
4.0201714874327 |
L(r)(E,1)/r! |
Ω |
0.13400859593612 |
Real period |
R |
14.999677667502 |
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 |
11360j1 22720k1 102240bv1 56800j1 |
Quadratic twists by: -4 8 -3 5 |