Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19266x |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-79033780026998784 = -1 · 218 · 34 · 134 · 194 |
Discriminant |
Eigenvalues |
2- 3- 3 0 -4 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,50781,-12784383] |
[a1,a2,a3,a4,a6] |
Generators |
[654:17001:1] |
Generators of the group modulo torsion |
j |
507053185139423/2767192326144 |
j-invariant |
L |
10.768982554962 |
L(r)(E,1)/r! |
Ω |
0.17215571711849 |
Real period |
R |
0.43440091521707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57798o1 19266m1 |
Quadratic twists by: -3 13 |