Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400cc |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8301313440000000000 = 214 · 32 · 510 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48020008,128063959988] |
[a1,a2,a3,a4,a6] |
Generators |
[17228:2101050:1] |
Generators of the group modulo torsion |
j |
191342053882402567201/129708022500 |
j-invariant |
L |
5.2217256152496 |
L(r)(E,1)/r! |
Ω |
0.19270562375313 |
Real period |
R |
6.7742257770575 |
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 |
1050c5 33600eq6 25200dz6 1680p5 |
Quadratic twists by: -4 8 -3 5 |