Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050u |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-43108069083750000 = -1 · 24 · 37 · 57 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99792,15741616] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-2662:1] |
Generators of the group modulo torsion |
j |
-9648632960569/3784521840 |
j-invariant |
L |
4.0575279209691 |
L(r)(E,1)/r! |
Ω |
0.33892301975356 |
Real period |
R |
0.74823921675447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31350bn1 18810bc1 |
Quadratic twists by: -3 5 |