Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cb |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
308758035600000000 = 210 · 38 · 58 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180075,-12262250] |
[a1,a2,a3,a4,a6] |
Generators |
[830:20250:1] |
Generators of the group modulo torsion |
j |
470596/225 |
j-invariant |
L |
5.6122767425173 |
L(r)(E,1)/r! |
Ω |
0.24298158037122 |
Real period |
R |
2.8871924859079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964768 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29400eb2 17640ca2 1800h2 |
Quadratic twists by: -3 5 -7 |