Atkin-Lehner |
2+ 3+ 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970j |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
23101440 |
Modular degree for the optimal curve |
Δ |
4.3448719740778E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83040999,-291226076695] |
[a1,a2,a3,a4,a6] |
j |
3217437491365131965054307/220742365192187500 |
j-invariant |
L |
4.0009967580958 |
L(r)(E,1)/r! |
Ω |
0.05001245815101 |
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 |
119970bi1 |
Quadratic twists by: -3 |