Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688h |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33288192 = 212 · 33 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4812,-128480] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1708:1] |
Generators of the group modulo torsion |
j |
111423515328/301 |
j-invariant |
L |
5.2566445507548 |
L(r)(E,1)/r! |
Ω |
0.57321588937086 |
Real period |
R |
4.585222293278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688ba2 86688bh2 |
Quadratic twists by: -4 -3 |