Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575bz |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-7196809921875 = -1 · 33 · 57 · 76 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13883,-647356] |
[a1,a2,a3,a4,a6] |
Generators |
[142:514:1] |
Generators of the group modulo torsion |
j |
-160989184/3915 |
j-invariant |
L |
7.0410450766987 |
L(r)(E,1)/r! |
Ω |
0.21959476127816 |
Real period |
R |
2.671984315393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999746717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21315h1 2175a1 |
Quadratic twists by: 5 -7 |