Atkin-Lehner |
3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585o |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
9797760 |
Modular degree for the optimal curve |
Δ |
-148363872095833875 = -1 · 39 · 53 · 137 · 312 |
Discriminant |
Eigenvalues |
0 3- 5- 1 3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-637760595,6198972986756] |
[a1,a2,a3,a4,a6] |
Generators |
[14550:6277:1] |
Generators of the group modulo torsion |
j |
-5943423068131740751396864/30737464875 |
j-invariant |
L |
7.7423848256338 |
L(r)(E,1)/r! |
Ω |
0.15728699147766 |
Real period |
R |
0.45578307357535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045h1 |
Quadratic twists by: 13 |