Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360bi |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
170175654466560 = 210 · 34 · 5 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-524920,146205860] |
[a1,a2,a3,a4,a6] |
Generators |
[394:840:1] |
Generators of the group modulo torsion |
j |
647158135396/6885 |
j-invariant |
L |
7.643026185293 |
L(r)(E,1)/r! |
Ω |
0.51825044011493 |
Real period |
R |
3.6869366589934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000649 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34680bi4 4080a4 |
Quadratic twists by: -4 17 |