Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
4800bu |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-221184000 = -1 · 216 · 33 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127,417] |
[a1,a2,a3,a4,a6] |
Generators |
[7:40:1] |
Generators of the group modulo torsion |
j |
27436/27 |
j-invariant |
L |
3.0989213547079 |
L(r)(E,1)/r! |
Ω |
1.1651164871327 |
Real period |
R |
1.3298761921799 |
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 |
4800bc1 1200i1 14400eu1 4800ck1 |
Quadratic twists by: -4 8 -3 5 |