Atkin-Lehner |
3- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112677l |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
54067200 |
Modular degree for the optimal curve |
Δ |
-1.4297237720694E+27 |
Discriminant |
Eigenvalues |
1 3- 0 2 4 2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-145067946,-1939555624865] |
[a1,a2,a3,a4,a6] |
j |
-2280715308504796299625/9657953768693403567 |
j-invariant |
L |
3.1671772300945 |
L(r)(E,1)/r! |
Ω |
0.019794863860475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899b1 |
Quadratic twists by: -23 |