Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bl |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1087334117187500 = 22 · 59 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-916326,-337688452] |
[a1,a2,a3,a4,a6] |
Generators |
[3102:161761:1] |
Generators of the group modulo torsion |
j |
370300910741/4732 |
j-invariant |
L |
2.7819516950713 |
L(r)(E,1)/r! |
Ω |
0.15430764458716 |
Real period |
R |
4.5071514481903 |
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 |
31850cp2 4550m2 |
Quadratic twists by: 5 -7 |