Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bi |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
25330535594000 = 24 · 53 · 78 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8927,-214019] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:209:1] |
Generators of the group modulo torsion |
j |
5350192749/1722448 |
j-invariant |
L |
3.3370779376991 |
L(r)(E,1)/r! |
Ω |
0.50369588789306 |
Real period |
R |
1.6562960001807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31850cl1 4550l1 |
Quadratic twists by: 5 -7 |