Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720h |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
504000000000000 = 215 · 32 · 512 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23521,880321] |
[a1,a2,a3,a4,a6] |
j |
43919722445768/15380859375 |
j-invariant |
L |
1.9200711950562 |
L(r)(E,1)/r! |
Ω |
0.48001779876406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720r4 3360z2 20160co4 33600cl3 |
Quadratic twists by: -4 8 -3 5 |