Atkin-Lehner |
2- 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840bw |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
13278118831718400 = 222 · 32 · 52 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-106136,12134640] |
[a1,a2,a3,a4,a6] |
j |
32281670802491929/3241728230400 |
j-invariant |
L |
3.0933701549862 |
L(r)(E,1)/r! |
Ω |
0.38667127804532 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10230l2 |
Quadratic twists by: -4 |