Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400n |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-882000000000 = -1 · 210 · 32 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1792,-35088] |
[a1,a2,a3,a4,a6] |
Generators |
[38:294:1] |
Generators of the group modulo torsion |
j |
318028/441 |
j-invariant |
L |
3.784522017818 |
L(r)(E,1)/r! |
Ω |
0.4719377945026 |
Real period |
R |
2.004777992938 |
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 |
4200bc2 33600hh2 25200cj2 8400bc2 |
Quadratic twists by: -4 8 -3 5 |