Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840cz |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
311122944000 = 213 · 34 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80021336,-275549010540] |
[a1,a2,a3,a4,a6] |
Generators |
[-24886236996326190:-121701847267:4818245769000] |
Generators of the group modulo torsion |
j |
13835063705411752927552729/75957750 |
j-invariant |
L |
7.8214403994855 |
L(r)(E,1)/r! |
Ω |
0.05047753106743 |
Real period |
R |
19.368618655796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230b3 |
Quadratic twists by: -4 |