Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360bw |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2263910400 = 211 · 32 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-640,5588] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:90:1] |
Generators of the group modulo torsion |
j |
2885794/225 |
j-invariant |
L |
7.2703829349414 |
L(r)(E,1)/r! |
Ω |
1.4265853162908 |
Real period |
R |
1.2740883512786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680bm2 69360h2 |
Quadratic twists by: -4 17 |