Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350bm |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-679790628125000 = -1 · 23 · 58 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 5 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17992,1565416] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:1126:1] |
Generators of the group modulo torsion |
j |
-14016105/14792 |
j-invariant |
L |
3.1002654913313 |
L(r)(E,1)/r! |
Ω |
0.46355992886403 |
Real period |
R |
1.671987388391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000232351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350cy1 2150h1 |
Quadratic twists by: 5 -7 |