Atkin-Lehner |
2+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944b |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
10699470656 = 26 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ 0 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-852698,-303068626] |
[a1,a2,a3,a4,a6] |
Generators |
[-128096518369702613907769:9109234069032278579:240268195551915697139] |
Generators of the group modulo torsion |
j |
185842547928576/29 |
j-invariant |
L |
5.1338550268697 |
L(r)(E,1)/r! |
Ω |
0.15710888396761 |
Real period |
R |
32.677051082155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944a1 45472a1 90944l1 |
Quadratic twists by: -4 8 -7 |