Atkin-Lehner |
2- 3- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050cm |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
12527156250000 = 24 · 34 · 59 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11388,-436608] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:174:1] |
Generators of the group modulo torsion |
j |
83625443117/6413904 |
j-invariant |
L |
14.16398988623 |
L(r)(E,1)/r! |
Ω |
0.4643985467814 |
Real period |
R |
1.9062276847416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050i1 |
Quadratic twists by: 5 |