Atkin-Lehner |
2+ 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10318c |
Isogeny class |
Conductor |
10318 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10192 |
Modular degree for the optimal curve |
Δ |
-77689752448 = -1 · 27 · 77 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 11- 5 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-605,14333] |
[a1,a2,a3,a4,a6] |
Generators |
[86:725:8] |
Generators of the group modulo torsion |
j |
-24553362849625/77689752448 |
j-invariant |
L |
4.744766449261 |
L(r)(E,1)/r! |
Ω |
0.95426797581727 |
Real period |
R |
4.9721530738757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544ba1 92862bl1 72226f1 113498w1 |
Quadratic twists by: -4 -3 -7 -11 |