Atkin-Lehner |
2+ 3+ 7+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606f |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8501760 |
Modular degree for the optimal curve |
Δ |
3.84846923471E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -4 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6882720,6278246828] |
[a1,a2,a3,a4,a6] |
j |
1831946394927448623123/195522493253567116 |
j-invariant |
L |
1.3532821703173 |
L(r)(E,1)/r! |
Ω |
0.13532821690685 |
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 |
60606x1 |
Quadratic twists by: -3 |