Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600cx |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-487932468192000 = -1 · 28 · 35 · 53 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60613,5821103] |
[a1,a2,a3,a4,a6] |
Generators |
[83:1170:1] |
Generators of the group modulo torsion |
j |
-769623354048512/15247889631 |
j-invariant |
L |
5.1917060166373 |
L(r)(E,1)/r! |
Ω |
0.52450322809385 |
Real period |
R |
0.070702356855499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3900g1 62400fp1 46800fm1 15600bt1 |
Quadratic twists by: -4 8 -3 5 |