Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150dy |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
216497622656250 = 2 · 310 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2526755,-1545308503] |
[a1,a2,a3,a4,a6] |
Generators |
[317633574861618:-15107034477234085:100285378136] |
Generators of the group modulo torsion |
j |
156626555801245921/19006650 |
j-invariant |
L |
11.545340973189 |
L(r)(E,1)/r! |
Ω |
0.11974538587509 |
Real period |
R |
24.10393703868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050x2 22230m2 |
Quadratic twists by: -3 5 |