Atkin-Lehner |
2+ 3- 5- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970x |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
17031168 |
Modular degree for the optimal curve |
Δ |
3.1933387256449E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27841239,49584607645] |
[a1,a2,a3,a4,a6] |
j |
3273873299844910226364529/438043720938946560000 |
j-invariant |
L |
2.2312798212506 |
L(r)(E,1)/r! |
Ω |
0.092969991053531 |
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 |
39990n1 |
Quadratic twists by: -3 |