Atkin-Lehner |
2+ 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446r |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2225664 |
Modular degree for the optimal curve |
Δ |
-5.0204892217483E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1484040,774746494] |
[a1,a2,a3,a4,a6] |
j |
-62701191227554873/8708868218952 |
j-invariant |
L |
3.1029450109213 |
L(r)(E,1)/r! |
Ω |
0.19393406270111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446j1 |
Quadratic twists by: -7 |