Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800kw |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
387072000000000 = 220 · 33 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19500,450000] |
[a1,a2,a3,a4,a6] |
j |
59319/28 |
j-invariant |
L |
1.9082720688977 |
L(r)(E,1)/r! |
Ω |
0.47706800003209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800cc1 25200do1 100800kv1 100800kk1 |
Quadratic twists by: -4 8 -3 5 |