Atkin-Lehner |
2- 3+ 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970bi |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
7700480 |
Modular degree for the optimal curve |
Δ |
5960043860189062500 = 22 · 33 · 58 · 312 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9226778,10789226581] |
[a1,a2,a3,a4,a6] |
j |
3217437491365131965054307/220742365192187500 |
j-invariant |
L |
4.5481623698977 |
L(r)(E,1)/r! |
Ω |
0.22740819616281 |
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 |
119970j1 |
Quadratic twists by: -3 |