Atkin-Lehner |
2- 3+ 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
128340a |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
5735065410000 = 24 · 33 · 54 · 23 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24048,-1430747] |
[a1,a2,a3,a4,a6] |
Generators |
[3279:187550:1] |
Generators of the group modulo torsion |
j |
3560220159639552/13275614375 |
j-invariant |
L |
6.0392712232442 |
L(r)(E,1)/r! |
Ω |
0.38346630596884 |
Real period |
R |
3.937289356076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128340b1 |
Quadratic twists by: -3 |