Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040ck |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-103740674359575600 = -1 · 24 · 37 · 52 · 179 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29478,-15618427] |
[a1,a2,a3,a4,a6] |
Generators |
[3538:210159:1] |
Generators of the group modulo torsion |
j |
-2048/75 |
j-invariant |
L |
3.96350912285 |
L(r)(E,1)/r! |
Ω |
0.14632584079464 |
Real period |
R |
6.7717176401715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680n1 104040cv1 |
Quadratic twists by: -3 17 |