Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576h |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
9756581554368 = 26 · 39 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 11+ 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25316,1551558] |
[a1,a2,a3,a4,a6] |
Generators |
[4456975:65285792:15625] |
Generators of the group modulo torsion |
j |
28037943353302336/152446586787 |
j-invariant |
L |
7.0401890642803 |
L(r)(E,1)/r! |
Ω |
0.7302130923149 |
Real period |
R |
9.6412802486994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576bv1 24288p2 |
Quadratic twists by: -4 8 |