Atkin-Lehner |
2+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450d |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-7563418912000000 = -1 · 211 · 56 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -4 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15899,-4111152] |
[a1,a2,a3,a4,a6] |
j |
4934783/83968 |
j-invariant |
L |
0.40690282484017 |
L(r)(E,1)/r! |
Ω |
0.20345139650014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018l1 100450l1 |
Quadratic twists by: 5 -7 |