Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400cd |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9408000000 = 212 · 3 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-313608,67492788] |
[a1,a2,a3,a4,a6] |
Generators |
[332:282:1] |
Generators of the group modulo torsion |
j |
53297461115137/147 |
j-invariant |
L |
4.9389900689484 |
L(r)(E,1)/r! |
Ω |
0.8546206108137 |
Real period |
R |
2.8895804796036 |
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 |
525b5 33600em6 25200dx6 336e5 |
Quadratic twists by: -4 8 -3 5 |