Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840y |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
3159771690240000 = 211 · 35 · 54 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122056,-16229356] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:468:1] [554:9300:1] |
Generators of the group modulo torsion |
j |
98191686113609618/1542857270625 |
j-invariant |
L |
11.023301225292 |
L(r)(E,1)/r! |
Ω |
0.25566604057306 |
Real period |
R |
1.0779004126506 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920c4 |
Quadratic twists by: -4 |