Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400dd |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
425329947000000000 = 29 · 311 · 59 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72903675,239591960750] |
[a1,a2,a3,a4,a6] |
Generators |
[1285:384750:1] |
Generators of the group modulo torsion |
j |
7347751505995469192/72930375 |
j-invariant |
L |
6.4501519225279 |
L(r)(E,1)/r! |
Ω |
0.20833816899802 |
Real period |
R |
3.8700013261949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400bq4 100800ed4 16800e2 10080bb3 |
Quadratic twists by: -4 8 -3 5 |