Atkin-Lehner |
2- 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150bm |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
124 |
Product of Tamagawa factors cp |
deg |
1726080 |
Modular degree for the optimal curve |
Δ |
-3.7048287232E+19 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- -6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,171987,-291543983] |
[a1,a2,a3,a4,a6] |
Generators |
[1602:-64801:1] [602:5199:1] |
Generators of the group modulo torsion |
j |
288058290181507/18968723062784 |
j-invariant |
L |
8.9443448517873 |
L(r)(E,1)/r! |
Ω |
0.0980255036071 |
Real period |
R |
0.73584741385251 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150s1 |
Quadratic twists by: 5 |