Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600bf |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-150278711087232000 = -1 · 210 · 310 · 53 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120888,-24730272] |
[a1,a2,a3,a4,a6] |
Generators |
[828:-21060:1] |
Generators of the group modulo torsion |
j |
-1526394922573748/1174052430369 |
j-invariant |
L |
5.9053388257011 |
L(r)(E,1)/r! |
Ω |
0.12390057149522 |
Real period |
R |
1.191547939273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200bi2 54600bz2 |
Quadratic twists by: -4 5 |