Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984cr |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
359991318574750464 = 28 · 315 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -2 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-186020,-11030664] |
[a1,a2,a3,a4,a6] |
Generators |
[-281:4374:1] |
Generators of the group modulo torsion |
j |
482370434896/243931419 |
j-invariant |
L |
7.6715783948567 |
L(r)(E,1)/r! |
Ω |
0.24247259836452 |
Real period |
R |
2.1092633275129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9996a1 119952dz1 39984cf1 |
Quadratic twists by: -4 -3 -7 |