Atkin-Lehner |
2- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33728m |
Isogeny class |
Conductor |
33728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-539648 = -1 · 210 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -1 0 -2 3 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-71] |
[a1,a2,a3,a4,a6] |
Generators |
[40:247:1] |
Generators of the group modulo torsion |
j |
-4000000/527 |
j-invariant |
L |
3.7108091058082 |
L(r)(E,1)/r! |
Ω |
0.98621541791181 |
Real period |
R |
3.7626760223091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33728a1 8432c1 |
Quadratic twists by: -4 8 |