Atkin-Lehner |
2+ 3- 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130v |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-949682880 = -1 · 26 · 37 · 5 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -2 1 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,1485] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:39:1] |
Generators of the group modulo torsion |
j |
-117649/1302720 |
j-invariant |
L |
5.2426863969572 |
L(r)(E,1)/r! |
Ω |
1.2547339957411 |
Real period |
R |
0.52229062558724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999395494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40710bd1 |
Quadratic twists by: -3 |