Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575cd |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
111082761144140625 = 35 · 58 · 79 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1244626,-534311977] |
[a1,a2,a3,a4,a6] |
Generators |
[-653:626:1] [-5074:4333:8] |
Generators of the group modulo torsion |
j |
338171833063/176175 |
j-invariant |
L |
15.393337692442 |
L(r)(E,1)/r! |
Ω |
0.14293989500836 |
Real period |
R |
10.769098221482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21315j1 106575u1 |
Quadratic twists by: 5 -7 |