Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38700m |
Isogeny class |
Conductor |
38700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-2056676670000 = -1 · 24 · 314 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -3 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,-65275] |
[a1,a2,a3,a4,a6] |
j |
51200000/282123 |
j-invariant |
L |
2.4888482144006 |
L(r)(E,1)/r! |
Ω |
0.41480803573831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12900h1 38700i1 |
Quadratic twists by: -3 5 |