Atkin-Lehner |
2+ 3- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32214p |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-144619930833251328 = -1 · 210 · 33 · 79 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,28314,-18202184] |
[a1,a2,a3,a4,a6] |
j |
2510437676880782375/144619930833251328 |
j-invariant |
L |
2.8060328418078 |
L(r)(E,1)/r! |
Ω |
0.15589071343319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96642cg1 |
Quadratic twists by: -3 |