Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368p |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20313558647198208 = 29 · 310 · 74 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85539,-6760262] |
[a1,a2,a3,a4,a6] |
Generators |
[-112952:600093:512] |
Generators of the group modulo torsion |
j |
185446537613576/54423757521 |
j-invariant |
L |
7.2782122372652 |
L(r)(E,1)/r! |
Ω |
0.28545243904447 |
Real period |
R |
6.3742774992895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46368u3 92736er3 15456r2 |
Quadratic twists by: -4 8 -3 |