Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82467bg |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2628078156574101 = -1 · 310 · 77 · 11 · 173 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 11- -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11236,-2426308] |
[a1,a2,a3,a4,a6] |
Generators |
[240:-3869:1] |
Generators of the group modulo torsion |
j |
1829276567/30642381 |
j-invariant |
L |
2.1121459520111 |
L(r)(E,1)/r! |
Ω |
0.22225743257949 |
Real period |
R |
0.39596462675652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27489o1 11781i1 |
Quadratic twists by: -3 -7 |