Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850bn |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-28063652343750 = -1 · 2 · 39 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2695,248447] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:2213:8] |
Generators of the group modulo torsion |
j |
304175/3942 |
j-invariant |
L |
7.9858108767017 |
L(r)(E,1)/r! |
Ω |
0.49201469520782 |
Real period |
R |
4.0577095331106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10950i1 32850bb1 |
Quadratic twists by: -3 5 |