Atkin-Lehner |
3- 7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
128037i |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-3192535118764659213 = -1 · 35 · 76 · 135 · 673 |
Discriminant |
Eigenvalues |
1 3- -2 7- -5 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,353558,-28997419] |
[a1,a2,a3,a4,a6] |
Generators |
[781:26510:1] |
Generators of the group modulo torsion |
j |
41545045924015607/27136100763837 |
j-invariant |
L |
5.4497678580065 |
L(r)(E,1)/r! |
Ω |
0.14390360406304 |
Real period |
R |
3.7870961317376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2613b1 |
Quadratic twists by: -7 |