Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
4800a |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-405000000 = -1 · 26 · 34 · 57 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,92,-938] |
[a1,a2,a3,a4,a6] |
Generators |
[218:1161:8] |
Generators of the group modulo torsion |
j |
85184/405 |
j-invariant |
L |
3.2292583705214 |
L(r)(E,1)/r! |
Ω |
0.84854334943283 |
Real period |
R |
3.8056492607948 |
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 |
4800q1 2400ba4 14400v1 960f1 |
Quadratic twists by: -4 8 -3 5 |