Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4312h |
Isogeny class |
Conductor |
4312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
178570475776 = 28 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1519,10290] |
[a1,a2,a3,a4,a6] |
Generators |
[57:330:1] |
Generators of the group modulo torsion |
j |
12869712/5929 |
j-invariant |
L |
3.9465879138963 |
L(r)(E,1)/r! |
Ω |
0.90754689729444 |
Real period |
R |
2.1743162395584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8624f2 34496be2 38808bh2 107800h2 |
Quadratic twists by: -4 8 -3 5 |