Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840db |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5401440000 = 28 · 32 · 54 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1396,19304] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:198:1] |
Generators of the group modulo torsion |
j |
1176118452304/21099375 |
j-invariant |
L |
6.013795782127 |
L(r)(E,1)/r! |
Ω |
1.3582146149607 |
Real period |
R |
2.2138606505152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460a2 |
Quadratic twists by: -4 |