Atkin-Lehner |
2+ 3- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550ba |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
39504844800 = 211 · 33 · 52 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1011,-7922] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:72:1] |
Generators of the group modulo torsion |
j |
4564776495505/1580193792 |
j-invariant |
L |
4.6460761577592 |
L(r)(E,1)/r! |
Ω |
0.87070741025882 |
Real period |
R |
0.88932977613857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550bm1 |
Quadratic twists by: 5 |