Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ha |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
274743705600 = 214 · 34 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3185,63375] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:336:1] |
Generators of the group modulo torsion |
j |
218156637904/16769025 |
j-invariant |
L |
7.8672793688365 |
L(r)(E,1)/r! |
Ω |
0.95670389580202 |
Real period |
R |
1.0279146195957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998525 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360br2 21840a2 |
Quadratic twists by: -4 8 |