Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830ba |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-757170892800 = -1 · 212 · 38 · 52 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1141,44321] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:227:1] |
Generators of the group modulo torsion |
j |
-164287467238609/757170892800 |
j-invariant |
L |
5.950599432883 |
L(r)(E,1)/r! |
Ω |
0.78114409035796 |
Real period |
R |
0.31740833233875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38640br1 14490v1 24150m1 33810ch1 |
Quadratic twists by: -4 -3 5 -7 |