Atkin-Lehner |
3- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325q |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3609140625 = -1 · 33 · 57 · 29 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 1 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,374,-727] |
[a1,a2,a3,a4,a6] |
Generators |
[97:926:1] |
Generators of the group modulo torsion |
j |
371694959/230985 |
j-invariant |
L |
11.312746367527 |
L(r)(E,1)/r! |
Ω |
0.80932605467182 |
Real period |
R |
2.3296639402165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25665f1 |
Quadratic twists by: 5 |