Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640cm |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
105516569600 = 210 · 52 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -2 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32605,2276925] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:41860:27] |
Generators of the group modulo torsion |
j |
3743602157737984/103043525 |
j-invariant |
L |
11.172427017936 |
L(r)(E,1)/r! |
Ω |
0.98435254279646 |
Real period |
R |
5.6750130305677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640bd1 30160e1 |
Quadratic twists by: -4 8 |