Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400dt |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-178605000000000 = -1 · 29 · 36 · 510 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-643750] |
[a1,a2,a3,a4,a6] |
j |
-200/49 |
j-invariant |
L |
0.50933326516989 |
L(r)(E,1)/r! |
Ω |
0.25466663270326 |
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 |
50400y1 100800fg1 5600f1 50400bu1 |
Quadratic twists by: -4 8 -3 5 |