Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
51120c |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1676991600000000 = -1 · 210 · 310 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3243,-1971542] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1296:1] |
Generators of the group modulo torsion |
j |
-5052857764/2246484375 |
j-invariant |
L |
3.8851105699455 |
L(r)(E,1)/r! |
Ω |
0.21231904808262 |
Real period |
R |
2.2873068884918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25560a3 17040i4 |
Quadratic twists by: -4 -3 |