Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86688t |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1888226919936 = 29 · 36 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3099,-6190] |
[a1,a2,a3,a4,a6] |
Generators |
[62:200:1] |
Generators of the group modulo torsion |
j |
8818423496/5058907 |
j-invariant |
L |
9.2886865682215 |
L(r)(E,1)/r! |
Ω |
0.69461314186134 |
Real period |
R |
4.4574867166581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688bo2 9632h2 |
Quadratic twists by: -4 -3 |