Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
121360o |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135659520 |
Modular degree for the optimal curve |
Δ |
2.5278254348468E+28 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7218985056,-235960147497356] |
[a1,a2,a3,a4,a6] |
Generators |
[-12530442831454295684457973490595667506:-86592385464168158666103044786094080000:256823227802811868435295016677811] |
Generators of the group modulo torsion |
j |
10157625399856968874624555091809/6171448815543910400000000 |
j-invariant |
L |
2.9304947379732 |
L(r)(E,1)/r! |
Ω |
0.016379338448056 |
Real period |
R |
44.728528608796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996741339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170i1 |
Quadratic twists by: -4 |