Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
32850cd |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-348762931200000000 = -1 · 224 · 36 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 3 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2868305,1870693697] |
[a1,a2,a3,a4,a6] |
Generators |
[663:15796:1] |
Generators of the group modulo torsion |
j |
-9164567981161705/1224736768 |
j-invariant |
L |
7.2788178954417 |
L(r)(E,1)/r! |
Ω |
0.29224171145879 |
Real period |
R |
1.5566775741706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3650g2 32850p2 |
Quadratic twists by: -3 5 |