Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200u |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19192992000000 = 211 · 3 · 56 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23808,1406112] |
[a1,a2,a3,a4,a6] |
Generators |
[122:550:1] |
Generators of the group modulo torsion |
j |
46640233586/599781 |
j-invariant |
L |
6.3275805063391 |
L(r)(E,1)/r! |
Ω |
0.68880430609185 |
Real period |
R |
2.2965813557434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600cf4 4368f3 |
Quadratic twists by: -4 5 |