Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304dc |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-51066359757504 = -1 · 26 · 32 · 79 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -4 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-188911,-31668337] |
[a1,a2,a3,a4,a6] |
Generators |
[51042:2155069:27] |
Generators of the group modulo torsion |
j |
-99021508447744/6782139 |
j-invariant |
L |
5.9184713373524 |
L(r)(E,1)/r! |
Ω |
0.11449941585841 |
Real period |
R |
6.4612461847911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304t1 61152j1 17472l1 |
Quadratic twists by: -4 8 -7 |