Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800nc |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-637875000000 = -1 · 26 · 36 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16950,-850250] |
[a1,a2,a3,a4,a6] |
j |
-738763264/875 |
j-invariant |
L |
0.8367702261029 |
L(r)(E,1)/r! |
Ω |
0.2091925883379 |
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 |
100800ld1 50400bf1 11200cj1 20160ds1 |
Quadratic twists by: -4 8 -3 5 |