Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840da |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
16220160 |
Modular degree for the optimal curve |
Δ |
2.2745198628864E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89007852,322398802096] |
[a1,a2,a3,a4,a6] |
j |
408076159454905367161/1190206406250000 |
j-invariant |
L |
3.9881109373429 |
L(r)(E,1)/r! |
Ω |
0.099702788962766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840fv1 3870q1 41280bd1 |
Quadratic twists by: -4 8 -3 |