Atkin-Lehner |
2- 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38950w |
Isogeny class |
Conductor |
38950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-389500000000 = -1 · 28 · 59 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -4 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1362,23531] |
[a1,a2,a3,a4,a6] |
Generators |
[3540:31573:64] |
Generators of the group modulo torsion |
j |
143055667/199424 |
j-invariant |
L |
12.304873415281 |
L(r)(E,1)/r! |
Ω |
0.64207202957506 |
Real period |
R |
4.7910798354755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38950m1 |
Quadratic twists by: 5 |