Atkin-Lehner |
2- 3- 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32922h |
Isogeny class |
Conductor |
32922 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-45312260544 = -1 · 26 · 38 · 31 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 4 2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1364,22263] |
[a1,a2,a3,a4,a6] |
j |
-384716455417/62156736 |
j-invariant |
L |
6.5737286523469 |
L(r)(E,1)/r! |
Ω |
1.0956214420582 |
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 |
10974a1 |
Quadratic twists by: -3 |