Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368u |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
32 |
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 |
[241:378:1] |
Generators of the group modulo torsion |
j |
185446537613576/54423757521 |
j-invariant |
L |
6.962197456862 |
L(r)(E,1)/r! |
Ω |
0.35695680500568 |
Real period |
R |
2.4380391966335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46368p3 92736fc3 15456o3 |
Quadratic twists by: -4 8 -3 |