Atkin-Lehner |
2+ 3+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105774c |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-649875456 = -1 · 212 · 32 · 172 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 0 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-269,-2211] |
[a1,a2,a3,a4,a6] |
Generators |
[26:83:1] |
Generators of the group modulo torsion |
j |
-7492088377/2248704 |
j-invariant |
L |
2.237744076005 |
L(r)(E,1)/r! |
Ω |
0.58018600479781 |
Real period |
R |
0.96423561301903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000196626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105774n1 |
Quadratic twists by: 17 |