Atkin-Lehner |
2- 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550ca |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-88624991700 = -1 · 22 · 35 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8943,-329559] |
[a1,a2,a3,a4,a6] |
j |
-3163999679727385/3544999668 |
j-invariant |
L |
2.9454426402027 |
L(r)(E,1)/r! |
Ω |
0.24545355335067 |
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 |
97650bt1 32550bg1 |
Quadratic twists by: -3 5 |