Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400di |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
5488640 |
Modular degree for the optimal curve |
Δ |
13378671281250000 = 24 · 34 · 59 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49412583,133675231338] |
[a1,a2,a3,a4,a6] |
Generators |
[1683:235125:1] |
Generators of the group modulo torsion |
j |
426959193842199246848/428117481 |
j-invariant |
L |
7.6149146386543 |
L(r)(E,1)/r! |
Ω |
0.25038865470354 |
Real period |
R |
0.95038683957176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125400x1 |
Quadratic twists by: 5 |