Atkin-Lehner |
3+ 5+ 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
28635b |
Isogeny class |
Conductor |
28635 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-715875 = -1 · 3 · 53 · 23 · 83 |
Discriminant |
Eigenvalues |
1 3+ 5+ -3 4 -1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12,-33] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1:1] [22:33:8] |
Generators of the group modulo torsion |
j |
167284151/715875 |
j-invariant |
L |
7.6187532245574 |
L(r)(E,1)/r! |
Ω |
1.4440184451523 |
Real period |
R |
5.2760774975791 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85905i1 |
Quadratic twists by: -3 |