Atkin-Lehner |
3- 5+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165g |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
529994390625 = 36 · 56 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -6 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6405,195776] |
[a1,a2,a3,a4,a6] |
Generators |
[52:10:1] |
Generators of the group modulo torsion |
j |
39864996115281/727015625 |
j-invariant |
L |
4.7151812130773 |
L(r)(E,1)/r! |
Ω |
0.92667528104063 |
Real period |
R |
2.5441388434951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13685e1 |
Quadratic twists by: -3 |