Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610cs |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1223040 |
Modular degree for the optimal curve |
Δ |
1055351620293750 = 2 · 32 · 55 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-483935,129527475] |
[a1,a2,a3,a4,a6] |
Generators |
[3110:1895:8] |
Generators of the group modulo torsion |
j |
15365194032721/1293750 |
j-invariant |
L |
16.928837483033 |
L(r)(E,1)/r! |
Ω |
0.46929552028824 |
Real period |
R |
3.6072872499987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610bd1 |
Quadratic twists by: 13 |