Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350t |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-52542898158093750 = -1 · 2 · 32 · 56 · 11 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41476,-11501152] |
[a1,a2,a3,a4,a6] |
Generators |
[342:3616:1] |
Generators of the group modulo torsion |
j |
-504985875929137/3362745482118 |
j-invariant |
L |
5.4977242370953 |
L(r)(E,1)/r! |
Ω |
0.14882574819248 |
Real period |
R |
4.6175849137889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050cp5 1254h6 |
Quadratic twists by: -3 5 |