Atkin-Lehner |
2+ 7- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
16226a |
Isogeny class |
Conductor |
16226 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108720 |
Modular degree for the optimal curve |
Δ |
-2270889723195128 = -1 · 23 · 72 · 193 · 615 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 1 -7 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,32484,-409304] |
[a1,a2,a3,a4,a6] |
j |
3790629408114642743/2270889723195128 |
j-invariant |
L |
0.53759035890155 |
L(r)(E,1)/r! |
Ω |
0.26879517945077 |
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 |
129808g1 113582c1 |
Quadratic twists by: -4 -7 |