Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040cz |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-2528172000000 = -1 · 28 · 37 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 0 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3927,121754] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:290:1] [-47:450:1] |
Generators of the group modulo torsion |
j |
-124176976/46875 |
j-invariant |
L |
10.73287634265 |
L(r)(E,1)/r! |
Ω |
0.76432321369239 |
Real period |
R |
0.14627423740738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680e1 104040cn1 |
Quadratic twists by: -3 17 |