Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575cx |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
635040 |
Modular degree for the optimal curve |
Δ |
-84526532532421875 = -1 · 37 · 58 · 76 · 292 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -2 3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-187833,-34376506] |
[a1,a2,a3,a4,a6] |
Generators |
[522:3175:1] |
Generators of the group modulo torsion |
j |
-15947530240/1839267 |
j-invariant |
L |
6.4293397681824 |
L(r)(E,1)/r! |
Ω |
0.1139250344998 |
Real period |
R |
4.0310591496619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575m1 2175d1 |
Quadratic twists by: 5 -7 |