Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502t |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
453171109758124032 = 214 · 37 · 118 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 11- 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-439434,-107231756] |
[a1,a2,a3,a4,a6] |
Generators |
[-444:670:1] |
Generators of the group modulo torsion |
j |
7266438420409/350896128 |
j-invariant |
L |
5.28580156432 |
L(r)(E,1)/r! |
Ω |
0.18598364383522 |
Real period |
R |
3.552598353701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000001307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834bb1 11682u1 |
Quadratic twists by: -3 -11 |