Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800me |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
-188116992000000 = -1 · 218 · 38 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14100,-142000] |
[a1,a2,a3,a4,a6] |
Generators |
[266:4736:1] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
4.9141657935943 |
L(r)(E,1)/r! |
Ω |
0.32944811142582 |
Real period |
R |
3.7290893626798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800fm1 25200dx1 33600em1 4032bm1 |
Quadratic twists by: -4 8 -3 5 |