Atkin-Lehner |
2- 3+ 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550bn |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
2114054244063495000 = 23 · 311 · 54 · 175 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -1 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14446788,21129001581] |
[a1,a2,a3,a4,a6] |
Generators |
[-4389:5843:1] |
Generators of the group modulo torsion |
j |
533528466146852664713425/3382486790501592 |
j-invariant |
L |
9.0360458787119 |
L(r)(E,1)/r! |
Ω |
0.23264641321884 |
Real period |
R |
6.4733757295985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550z1 |
Quadratic twists by: 5 |