Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490w |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-1859739750000 = -1 · 24 · 35 · 56 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-553,65756] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-478:1] |
Generators of the group modulo torsion |
j |
-14014952531/1397250000 |
j-invariant |
L |
6.1073891396177 |
L(r)(E,1)/r! |
Ω |
0.68536395037696 |
Real period |
R |
0.29703873087747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83490cj1 |
Quadratic twists by: -11 |