Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600h |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
26240000000000 = 216 · 510 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 -6 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8033,-124063] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:384:1] |
Generators of the group modulo torsion |
j |
55990084/25625 |
j-invariant |
L |
5.9591996454235 |
L(r)(E,1)/r! |
Ω |
0.52669136214445 |
Real period |
R |
2.8286013753135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600bp1 8200i1 13120g1 |
Quadratic twists by: -4 8 5 |