Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850fu |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
57326313515625000 = 23 · 34 · 510 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-325987838,-2265454884708] |
[a1,a2,a3,a4,a6] |
j |
2084105208962185000201/31185000 |
j-invariant |
L |
6.8218227407651 |
L(r)(E,1)/r! |
Ω |
0.035530327062432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170d3 11550bq4 |
Quadratic twists by: 5 -7 |