Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296bi |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
46838764708017408 = 28 · 34 · 7 · 199 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-235492,-42814132] |
[a1,a2,a3,a4,a6] |
Generators |
[-281743831:-995438748:1092727] |
Generators of the group modulo torsion |
j |
17483632/567 |
j-invariant |
L |
12.135534131508 |
L(r)(E,1)/r! |
Ω |
0.21715424513971 |
Real period |
R |
13.971099340648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648e2 121296k2 |
Quadratic twists by: -4 -19 |