Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200br |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-133128000000000 = -1 · 212 · 32 · 59 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12367,163137] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:276:1] [7:500:1] |
Generators of the group modulo torsion |
j |
3268147904/2080125 |
j-invariant |
L |
8.6224673268828 |
L(r)(E,1)/r! |
Ω |
0.36347961826542 |
Real period |
R |
1.4826256573353 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200bc2 20640l2 |
Quadratic twists by: -4 5 |