Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680eb |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11884290969600 = 212 · 38 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10521,384345] |
[a1,a2,a3,a4,a6] |
j |
31446774334144/2901438225 |
j-invariant |
L |
2.7825722842876 |
L(r)(E,1)/r! |
Ω |
0.69564284163621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680ev2 63840ca1 |
Quadratic twists by: -4 8 |