Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680dm |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-307773253877760 = -1 · 219 · 36 · 5 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ 6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3421452,-2435924464] |
[a1,a2,a3,a4,a6] |
j |
-23178622194826561/1610510 |
j-invariant |
L |
2.775153108348 |
L(r)(E,1)/r! |
Ω |
0.055503062166979 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31680bv2 7920bd2 3520y2 |
Quadratic twists by: -4 8 -3 |