Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4018m |
Isogeny class |
Conductor |
4018 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
69151258624 = 211 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 1 1 7- -6 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1030,-1436] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:110:1] |
Generators of the group modulo torsion |
j |
1027243729/587776 |
j-invariant |
L |
6.0358506265229 |
L(r)(E,1)/r! |
Ω |
0.91339828190993 |
Real period |
R |
0.15018467414152 |
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 |
32144r1 128576u1 36162be1 100450k1 |
Quadratic twists by: -4 8 -3 5 |