Atkin-Lehner |
3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5565a |
Isogeny class |
Conductor |
5565 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
24645576375 = 312 · 53 · 7 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-247348,47246077] |
[a1,a2,a3,a4,a6] |
Generators |
[371188:27985153:64] |
Generators of the group modulo torsion |
j |
1673599991143998076489/24645576375 |
j-invariant |
L |
3.4482414351262 |
L(r)(E,1)/r! |
Ω |
0.84979309203642 |
Real period |
R |
8.1154847396157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040cc4 16695o3 27825q4 38955p4 |
Quadratic twists by: -4 -3 5 -7 |