Atkin-Lehner |
2- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39950q |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
37506058750000 = 24 · 57 · 172 · 473 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 3 -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-351338,80009031] |
[a1,a2,a3,a4,a6] |
Generators |
[355:-603:1] |
Generators of the group modulo torsion |
j |
306958127960962009/2400387760 |
j-invariant |
L |
7.4706299915872 |
L(r)(E,1)/r! |
Ω |
0.58257721254803 |
Real period |
R |
0.40073175230464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7990a1 |
Quadratic twists by: 5 |