Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080bs |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-392143680 = -1 · 26 · 36 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63,-972] |
[a1,a2,a3,a4,a6] |
Generators |
[16:46:1] |
Generators of the group modulo torsion |
j |
-592704/8405 |
j-invariant |
L |
4.5375465170795 |
L(r)(E,1)/r! |
Ω |
0.72253526154846 |
Real period |
R |
3.1400173542753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080bq1 59040cb2 13120p1 |
Quadratic twists by: -4 8 -3 |