Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600b |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2932006912000000 = 219 · 56 · 713 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 0 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92833,-10601537] |
[a1,a2,a3,a4,a6] |
Generators |
[-111663:159200:729] |
Generators of the group modulo torsion |
j |
21601086625/715822 |
j-invariant |
L |
7.8370595459736 |
L(r)(E,1)/r! |
Ω |
0.2740663907722 |
Real period |
R |
7.148869573502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600cl2 3550b2 4544c2 |
Quadratic twists by: -4 8 5 |