Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040bi |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12347071545600 = 28 · 32 · 52 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7300,-172900] |
[a1,a2,a3,a4,a6] |
j |
94875856/27225 |
j-invariant |
L |
4.2223104554906 |
L(r)(E,1)/r! |
Ω |
0.52778880693628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14520be2 116160ff2 87120v2 2640k2 |
Quadratic twists by: -4 8 -3 -11 |