Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400cc |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23049600000000 = 213 · 3 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-768320008,8196864559988] |
[a1,a2,a3,a4,a6] |
Generators |
[431346:161000:27] |
Generators of the group modulo torsion |
j |
783736670177727068275201/360150 |
j-invariant |
L |
5.2217256152496 |
L(r)(E,1)/r! |
Ω |
0.19270562375313 |
Real period |
R |
3.3871128885288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1050c7 33600eq8 25200dz8 1680p7 |
Quadratic twists by: -4 8 -3 5 |