Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640bb |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
93849593760000 = 28 · 38 · 54 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-269103,-53729102] |
[a1,a2,a3,a4,a6] |
Generators |
[1427:49680:1] |
Generators of the group modulo torsion |
j |
11548134584625616/502880625 |
j-invariant |
L |
5.9447276859955 |
L(r)(E,1)/r! |
Ω |
0.20961437117321 |
Real period |
R |
3.5450382439869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791563 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35880f2 |
Quadratic twists by: -3 |