Atkin-Lehner |
2- 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32984d |
Isogeny class |
Conductor |
32984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24064 |
Modular degree for the optimal curve |
Δ |
-50677145344 = -1 · 28 · 72 · 194 · 31 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 2 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3359,-75710] |
[a1,a2,a3,a4,a6] |
j |
-16372453224528/197957599 |
j-invariant |
L |
2.5066538683614 |
L(r)(E,1)/r! |
Ω |
0.31333173354589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65968f1 |
Quadratic twists by: -4 |