Atkin-Lehner |
2+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400b |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-97196000000 = -1 · 28 · 56 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 11+ 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1233,22837] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-94:1] |
Generators of the group modulo torsion |
j |
-51868672/24299 |
j-invariant |
L |
6.2878991148806 |
L(r)(E,1)/r! |
Ω |
0.99583951358151 |
Real period |
R |
0.78927114432902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999606551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4136d1 |
Quadratic twists by: 5 |