Atkin-Lehner |
3+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32307c |
Isogeny class |
Conductor |
32307 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6552 |
Modular degree for the optimal curve |
Δ |
-290763 = -1 · 33 · 112 · 89 |
Discriminant |
Eigenvalues |
-2 3+ 0 4 11- 0 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18,-34] |
[a1,a2,a3,a4,a6] |
j |
-5632000/2403 |
j-invariant |
L |
1.130086961535 |
L(r)(E,1)/r! |
Ω |
1.1300869615237 |
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 |
96921x1 32307a1 |
Quadratic twists by: -3 -11 |