Atkin-Lehner |
2+ 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840j |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
47855202569222400 = 28 · 312 · 52 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152140,-20220800] |
[a1,a2,a3,a4,a6] |
Generators |
[-259:1320:1] |
Generators of the group modulo torsion |
j |
1521306907332903376/186934385036025 |
j-invariant |
L |
3.7914743899567 |
L(r)(E,1)/r! |
Ω |
0.24368191968074 |
Real period |
R |
3.8897781131794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972304 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40920s2 |
Quadratic twists by: -4 |