Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4018i |
Isogeny class |
Conductor |
4018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
3872470482944 = 214 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- -2 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4142,-39840] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:29:1] |
Generators of the group modulo torsion |
j |
66775173193/32915456 |
j-invariant |
L |
1.3667043896155 |
L(r)(E,1)/r! |
Ω |
0.62587309409107 |
Real period |
R |
2.1836765352572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32144bb1 128576bp1 36162cm1 100450bw1 |
Quadratic twists by: -4 8 -3 5 |