Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040cc |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-174127223558419200 = -1 · 28 · 323 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -4 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-278103,-59912998] |
[a1,a2,a3,a4,a6] |
Generators |
[2449:118098:1] |
Generators of the group modulo torsion |
j |
-44103737752144/3228504075 |
j-invariant |
L |
4.2654183252163 |
L(r)(E,1)/r! |
Ω |
0.1035126319982 |
Real period |
R |
1.2877106887077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680h1 104040da1 |
Quadratic twists by: -3 17 |