Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800em |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
82301184000000 = 214 · 38 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11100,-110000] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:400:1] |
Generators of the group modulo torsion |
j |
810448/441 |
j-invariant |
L |
7.550210496722 |
L(r)(E,1)/r! |
Ω |
0.49625960210263 |
Real period |
R |
1.9017794516023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804099 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100800lb2 12600q2 33600cr2 4032f2 |
Quadratic twists by: -4 8 -3 5 |