Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050c |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-28518750000000 = -1 · 27 · 33 · 511 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -3 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10542,492116] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:973:1] |
Generators of the group modulo torsion |
j |
-1817378667/400000 |
j-invariant |
L |
4.4451162812256 |
L(r)(E,1)/r! |
Ω |
0.63489286757821 |
Real period |
R |
0.87517054228315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050df1 15210be1 76050de1 |
Quadratic twists by: -3 5 13 |