Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502l |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
1.5614754070568E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2576052,-1472824688] |
[a1,a2,a3,a4,a6] |
Generators |
[-784:8420:1] |
Generators of the group modulo torsion |
j |
1463875168353625/120907017792 |
j-invariant |
L |
4.6091962891855 |
L(r)(E,1)/r! |
Ω |
0.11979408535211 |
Real period |
R |
4.8094989802481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834x1 11682o1 |
Quadratic twists by: -3 -11 |