Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400j |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17376512400000000 = 210 · 32 · 58 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69008,-2885988] |
[a1,a2,a3,a4,a6] |
Generators |
[80906:8133125:8] |
Generators of the group modulo torsion |
j |
470596/225 |
j-invariant |
L |
6.969553351263 |
L(r)(E,1)/r! |
Ω |
0.30882419898129 |
Real period |
R |
5.6420071307198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028837 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20280bf2 600f2 |
Quadratic twists by: 5 13 |