Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850bg |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-71842950000000 = -1 · 27 · 39 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -1 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2320,404947] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-685:1] |
Generators of the group modulo torsion |
j |
179685/9344 |
j-invariant |
L |
7.9831646053795 |
L(r)(E,1)/r! |
Ω |
0.46738356682585 |
Real period |
R |
0.40667956949791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32850d1 32850b1 |
Quadratic twists by: -3 5 |