Atkin-Lehner |
2+ 7+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
109858a |
Isogeny class |
Conductor |
109858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202944 |
Modular degree for the optimal curve |
Δ |
-491137985996 = -1 · 22 · 78 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3 1 7+ 0 0 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,236,-33748] |
[a1,a2,a3,a4,a6] |
Generators |
[1074:4684:27] |
Generators of the group modulo torsion |
j |
251559/85196 |
j-invariant |
L |
10.479381996602 |
L(r)(E,1)/r! |
Ω |
0.43719468535052 |
Real period |
R |
5.9924001403814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109858i1 |
Quadratic twists by: -7 |