Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400cd |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-4032000000 = -1 · 212 · 32 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,392,788] |
[a1,a2,a3,a4,a6] |
Generators |
[14:96:1] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
4.9389900689484 |
L(r)(E,1)/r! |
Ω |
0.8546206108137 |
Real period |
R |
1.4447902398018 |
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 |
525b1 33600em1 25200dx1 336e1 |
Quadratic twists by: -4 8 -3 5 |