Atkin-Lehner |
2- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104690y |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9504000 |
Modular degree for the optimal curve |
Δ |
82951297379200000 = 210 · 55 · 197 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 -3 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44921103,115895295831] |
[a1,a2,a3,a4,a6] |
Generators |
[3843:966:1] |
Generators of the group modulo torsion |
j |
213085222187021631369/1763200000 |
j-invariant |
L |
4.0720300869461 |
L(r)(E,1)/r! |
Ω |
0.23683767268789 |
Real period |
R |
0.85966688805908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999652531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510d1 |
Quadratic twists by: -19 |