Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82764o |
Isogeny class |
Conductor |
82764 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-1747437080274065664 = -1 · 28 · 36 · 1110 · 192 |
Discriminant |
Eigenvalues |
2- 3- 3 0 11- 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,131769,60877278] |
[a1,a2,a3,a4,a6] |
Generators |
[1587:65322:1] |
Generators of the group modulo torsion |
j |
52272/361 |
j-invariant |
L |
9.3577989843883 |
L(r)(E,1)/r! |
Ω |
0.19268620749997 |
Real period |
R |
4.0470804440537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9196f1 82764j1 |
Quadratic twists by: -3 -11 |