Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152q |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
914690506752 = 215 · 36 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11- 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8040,276336] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-432:1] |
Generators of the group modulo torsion |
j |
14034143923561/223313112 |
j-invariant |
L |
2.6865899068052 |
L(r)(E,1)/r! |
Ω |
0.88644169238877 |
Real period |
R |
0.7576894030011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894e2 124608de2 93456bm2 |
Quadratic twists by: -4 8 -3 |