Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950m |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
459361125000 = 23 · 36 · 56 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9267,344141] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:373:1] [35:231:1] |
Generators of the group modulo torsion |
j |
7727161833/40328 |
j-invariant |
L |
6.1873491243986 |
L(r)(E,1)/r! |
Ω |
0.94195051065455 |
Real period |
R |
3.2843281331738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3550l2 1278h2 |
Quadratic twists by: -3 5 |