Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576cf |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
31119172800937984 = 216 · 710 · 412 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135436,17204880] |
[a1,a2,a3,a4,a6] |
Generators |
[604:12480:1] |
Generators of the group modulo torsion |
j |
35633452068/4036081 |
j-invariant |
L |
4.147312428497 |
L(r)(E,1)/r! |
Ω |
0.35888921935126 |
Real period |
R |
5.7779840470775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000145486 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128576m2 32144c2 18368v2 |
Quadratic twists by: -4 8 -7 |