Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
28200x |
Isogeny class |
Conductor |
28200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
198281250000 = 24 · 33 · 510 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10783,-434062] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:21:1] |
Generators of the group modulo torsion |
j |
554680367104/793125 |
j-invariant |
L |
6.0080056221432 |
L(r)(E,1)/r! |
Ω |
0.4685420681012 |
Real period |
R |
2.1371277811087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56400c1 84600l1 5640a1 |
Quadratic twists by: -4 -3 5 |