Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040ci |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4700160 |
Modular degree for the optimal curve |
Δ |
4.2326195138707E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 1 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19042788,31969500212] |
[a1,a2,a3,a4,a6] |
Generators |
[196635388:69130926:79507] |
Generators of the group modulo torsion |
j |
2029825024/1125 |
j-invariant |
L |
8.2494231939185 |
L(r)(E,1)/r! |
Ω |
0.16570008869087 |
Real period |
R |
12.446316787913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680m1 104040dc1 |
Quadratic twists by: -3 17 |