Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680v |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1226534400 = -1 · 29 · 34 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,-1800] |
[a1,a2,a3,a4,a6] |
Generators |
[30:150:1] |
Generators of the group modulo torsion |
j |
-376367048/2395575 |
j-invariant |
L |
6.8937971801271 |
L(r)(E,1)/r! |
Ω |
0.64276708836285 |
Real period |
R |
1.3406483672194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680h2 87360ei2 |
Quadratic twists by: -4 8 |