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 |
Δ |
86067200000000 = 217 · 58 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 -6 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108033,-13624063] |
[a1,a2,a3,a4,a6] |
Generators |
[-5019:368:27] |
Generators of the group modulo torsion |
j |
68087453042/42025 |
j-invariant |
L |
5.9591996454235 |
L(r)(E,1)/r! |
Ω |
0.26334568107223 |
Real period |
R |
5.657202750627 |
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 |
65600bp2 8200i2 13120g2 |
Quadratic twists by: -4 8 5 |