Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800nr |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-130636800 = -1 · 210 · 36 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,-520] |
[a1,a2,a3,a4,a6] |
j |
1280/7 |
j-invariant |
L |
1.856675515226 |
L(r)(E,1)/r! |
Ω |
0.9283377852014 |
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 |
100800dq1 25200eo1 11200cp1 100800oy1 |
Quadratic twists by: -4 8 -3 5 |