Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840fc |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9800145681776640 = 218 · 37 · 5 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68268,-4944688] |
[a1,a2,a3,a4,a6] |
Generators |
[304:1548:1] [-131:1323:1] |
Generators of the group modulo torsion |
j |
184122897769/51282015 |
j-invariant |
L |
10.835204659638 |
L(r)(E,1)/r! |
Ω |
0.30156926964188 |
Real period |
R |
4.4911757207582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840bh3 30960bt3 41280ck3 |
Quadratic twists by: -4 8 -3 |