Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200ba |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
876096000 = 29 · 34 · 53 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248,408] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:30:1] |
Generators of the group modulo torsion |
j |
26463592/13689 |
j-invariant |
L |
5.8710498164764 |
L(r)(E,1)/r! |
Ω |
1.3904106026717 |
Real period |
R |
0.5278161901595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31200l2 62400fy2 93600fa2 31200bt2 |
Quadratic twists by: -4 8 -3 5 |